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Finding the Fourth Proportional to 508,404,891.40, 762,607,337.10 and 393,471,917.80

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Solution

The fourth proportional to 508,404,891.40, 762,607,337.10 and 393,471,917.80 is: 590,207,876.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,404,891.40 : 762,607,337.10 = 393,471,917.80 : x
  2. Step 2: Convert to fraction form
    508,404,891.40/762,607,337.10 = 393,471,917.80/x
  3. Step 3: Cross multiply
    508,404,891.40x = 762,607,337.10 × 393,471,917.80
  4. Step 4: Simplify right side
    508,404,891.40x = 300,064,571,457,088,128
  5. Step 5: Solve for x
    x = 300,064,571,457,088,128/508,404,891.40
  6. Step 6: Final answer
    x = 590,207,876.70

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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.