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Finding the Fourth Proportional to 661,278.82, 912,732.16 and 406,857.82

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Solution

The fourth proportional to 661,278.82, 912,732.16 and 406,857.82 is: 561,566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,278.82 : 912,732.16 = 406,857.82 : x
  2. Step 2: Convert to fraction form
    661,278.82/912,732.16 = 406,857.82/x
  3. Step 3: Cross multiply
    661,278.82x = 912,732.16 × 406,857.82
  4. Step 4: Simplify right side
    661,278.82x = 371,352,216,861.49
  5. Step 5: Solve for x
    x = 371,352,216,861.49/661,278.82
  6. Step 6: Final answer
    x = 561,566.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.