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Finding the Fourth Proportional to 317,953,646.80, 476,930,470.20 and 266,935,310.80

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Solution

The fourth proportional to 317,953,646.80, 476,930,470.20 and 266,935,310.80 is: 400,402,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,953,646.80 : 476,930,470.20 = 266,935,310.80 : x
  2. Step 2: Convert to fraction form
    317,953,646.80/476,930,470.20 = 266,935,310.80/x
  3. Step 3: Cross multiply
    317,953,646.80x = 476,930,470.20 × 266,935,310.80
  4. Step 4: Simplify right side
    317,953,646.80x = 127,309,583,292,827,136
  5. Step 5: Solve for x
    x = 127,309,583,292,827,136/317,953,646.80
  6. Step 6: Final answer
    x = 400,402,966.20

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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.