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Finding the Fourth Proportional to 508,404,974.40, 762,607,461.60 and 393,472,000.80

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Solution

The fourth proportional to 508,404,974.40, 762,607,461.60 and 393,472,000.80 is: 590,208,001.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,404,974.40 : 762,607,461.60 = 393,472,000.80 : x
  2. Step 2: Convert to fraction form
    508,404,974.40/762,607,461.60 = 393,472,000.80/x
  3. Step 3: Cross multiply
    508,404,974.40x = 762,607,461.60 × 393,472,000.80
  4. Step 4: Simplify right side
    508,404,974.40x = 300,064,683,740,761,216
  5. Step 5: Solve for x
    x = 300,064,683,740,761,216/508,404,974.40
  6. Step 6: Final answer
    x = 590,208,001.20

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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.