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Finding the Fourth Proportional to 661,275.82, 912,728.01 and 406,854.82

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Solution

The fourth proportional to 661,275.82, 912,728.01 and 406,854.82 is: 561,562.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,275.82 : 912,728.01 = 406,854.82 : x
  2. Step 2: Convert to fraction form
    661,275.82/912,728.01 = 406,854.82/x
  3. Step 3: Cross multiply
    661,275.82x = 912,728.01 × 406,854.82
  4. Step 4: Simplify right side
    661,275.82x = 371,347,790,217.51
  5. Step 5: Solve for x
    x = 371,347,790,217.51/661,275.82
  6. Step 6: Final answer
    x = 561,562.63

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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.