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Finding the Fourth Proportional to 399,139.80, 598,709.70 and 309,910.20

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Solution

The fourth proportional to 399,139.80, 598,709.70 and 309,910.20 is: 464,865.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,139.80 : 598,709.70 = 309,910.20 : x
  2. Step 2: Convert to fraction form
    399,139.80/598,709.70 = 309,910.20/x
  3. Step 3: Cross multiply
    399,139.80x = 598,709.70 × 309,910.20
  4. Step 4: Simplify right side
    399,139.80x = 185,546,242,868.94
  5. Step 5: Solve for x
    x = 185,546,242,868.94/399,139.80
  6. Step 6: Final answer
    x = 464,865.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.