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Finding the Fourth Proportional to 661,761.20, 991,864.20 and 282,681.20

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Solution

The fourth proportional to 661,761.20, 991,864.20 and 282,681.20 is: 423,689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,761.20 : 991,864.20 = 282,681.20 : x
  2. Step 2: Convert to fraction form
    661,761.20/991,864.20 = 282,681.20/x
  3. Step 3: Cross multiply
    661,761.20x = 991,864.20 × 282,681.20
  4. Step 4: Simplify right side
    661,761.20x = 280,381,362,293.04
  5. Step 5: Solve for x
    x = 280,381,362,293.04/661,761.20
  6. Step 6: Final answer
    x = 423,689.64

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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.