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Finding the Fourth Proportional to 712,285,173.80, 982,952,794.35 and 399,021,592.88

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Solution

The fourth proportional to 712,285,173.80, 982,952,794.35 and 399,021,592.88 is: 550,649,380.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,285,173.80 : 982,952,794.35 = 399,021,592.88 : x
  2. Step 2: Convert to fraction form
    712,285,173.80/982,952,794.35 = 399,021,592.88/x
  3. Step 3: Cross multiply
    712,285,173.80x = 982,952,794.35 × 399,021,592.88
  4. Step 4: Simplify right side
    712,285,173.80x = 392,219,389,729,841,472
  5. Step 5: Solve for x
    x = 392,219,389,729,841,472/712,285,173.80
  6. Step 6: Final answer
    x = 550,649,380.55

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.