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Finding the Fourth Proportional to 508,404,893.40, 762,607,340.10 and 393,471,919.80

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Solution

The fourth proportional to 508,404,893.40, 762,607,340.10 and 393,471,919.80 is: 590,207,879.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,404,893.40 : 762,607,340.10 = 393,471,919.80 : x
  2. Step 2: Convert to fraction form
    508,404,893.40/762,607,340.10 = 393,471,919.80/x
  3. Step 3: Cross multiply
    508,404,893.40x = 762,607,340.10 × 393,471,919.80
  4. Step 4: Simplify right side
    508,404,893.40x = 300,064,574,162,718,528
  5. Step 5: Solve for x
    x = 300,064,574,162,718,528/508,404,893.40
  6. Step 6: Final answer
    x = 590,207,879.70

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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.