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Finding the Fourth Proportional to 271,298,420.80, 406,972,514.40 and 89,545,998.40

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Solution

The fourth proportional to 271,298,420.80, 406,972,514.40 and 89,545,998.40 is: 134,327,210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,298,420.80 : 406,972,514.40 = 89,545,998.40 : x
  2. Step 2: Convert to fraction form
    271,298,420.80/406,972,514.40 = 89,545,998.40/x
  3. Step 3: Cross multiply
    271,298,420.80x = 406,972,514.40 × 89,545,998.40
  4. Step 4: Simplify right side
    271,298,420.80x = 36,442,760,123,306,376
  5. Step 5: Solve for x
    x = 36,442,760,123,306,376/271,298,420.80
  6. Step 6: Final answer
    x = 134,327,210.66

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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.