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Finding the Fourth Proportional to 661,149.10, 992,097.30 and 282,034

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Solution

The fourth proportional to 661,149.10, 992,097.30 and 282,034 is: 423,210.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,149.10 : 992,097.30 = 282,034 : x
  2. Step 2: Convert to fraction form
    661,149.10/992,097.30 = 282,034/x
  3. Step 3: Cross multiply
    661,149.10x = 992,097.30 × 282,034
  4. Step 4: Simplify right side
    661,149.10x = 279,805,169,908.20
  5. Step 5: Solve for x
    x = 279,805,169,908.20/661,149.10
  6. Step 6: Final answer
    x = 423,210.39

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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.