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Finding the Fourth Proportional to 497,585.28, 686,642.88 and 282,696.96

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Solution

The fourth proportional to 497,585.28, 686,642.88 and 282,696.96 is: 390,107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,585.28 : 686,642.88 = 282,696.96 : x
  2. Step 2: Convert to fraction form
    497,585.28/686,642.88 = 282,696.96/x
  3. Step 3: Cross multiply
    497,585.28x = 686,642.88 × 282,696.96
  4. Step 4: Simplify right side
    497,585.28x = 194,111,854,781.65
  5. Step 5: Solve for x
    x = 194,111,854,781.65/497,585.28
  6. Step 6: Final answer
    x = 390,107.71

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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.