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Finding the Fourth Proportional to 261,302,922.52, 391,978,800.42 and 77,070,578.20

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Solution

The fourth proportional to 261,302,922.52, 391,978,800.42 and 77,070,578.20 is: 115,613,068.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,302,922.52 : 391,978,800.42 = 77,070,578.20 : x
  2. Step 2: Convert to fraction form
    261,302,922.52/391,978,800.42 = 77,070,578.20/x
  3. Step 3: Cross multiply
    261,302,922.52x = 391,978,800.42 × 77,070,578.20
  4. Step 4: Simplify right side
    261,302,922.52x = 30,210,032,790,511,804
  5. Step 5: Solve for x
    x = 30,210,032,790,511,804/261,302,922.52
  6. Step 6: Final answer
    x = 115,613,068.92

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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.