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Finding the Fourth Proportional to 299,567,900.20, 420,604,383.80 and 299,567,900.20

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Solution

The fourth proportional to 299,567,900.20, 420,604,383.80 and 299,567,900.20 is: 420,604,383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,567,900.20 : 420,604,383.80 = 299,567,900.20 : x
  2. Step 2: Convert to fraction form
    299,567,900.20/420,604,383.80 = 299,567,900.20/x
  3. Step 3: Cross multiply
    299,567,900.20x = 420,604,383.80 × 299,567,900.20
  4. Step 4: Simplify right side
    299,567,900.20x = 125,999,572,069,880,896
  5. Step 5: Solve for x
    x = 125,999,572,069,880,896/299,567,900.20
  6. Step 6: Final answer
    x = 420,604,383.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.