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Finding the Fourth Proportional to 817,696,751.10, 1,226,545,126.65 and 491,179,400.70

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Solution

The fourth proportional to 817,696,751.10, 1,226,545,126.65 and 491,179,400.70 is: 736,769,101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,696,751.10 : 1,226,545,126.65 = 491,179,400.70 : x
  2. Step 2: Convert to fraction form
    817,696,751.10/1,226,545,126.65 = 491,179,400.70/x
  3. Step 3: Cross multiply
    817,696,751.10x = 1,226,545,126.65 × 491,179,400.70
  4. Step 4: Simplify right side
    817,696,751.10x = 602,453,700,239,452,672
  5. Step 5: Solve for x
    x = 602,453,700,239,452,672/817,696,751.10
  6. Step 6: Final answer
    x = 736,769,101.05

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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.