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Finding the Fourth Proportional to 304,531.47, 420,242.67 and 168,565.68

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Solution

The fourth proportional to 304,531.47, 420,242.67 and 168,565.68 is: 232,614.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,531.47 : 420,242.67 = 168,565.68 : x
  2. Step 2: Convert to fraction form
    304,531.47/420,242.67 = 168,565.68/x
  3. Step 3: Cross multiply
    304,531.47x = 420,242.67 × 168,565.68
  4. Step 4: Simplify right side
    304,531.47x = 70,838,491,433.57
  5. Step 5: Solve for x
    x = 70,838,491,433.57/304,531.47
  6. Step 6: Final answer
    x = 232,614.68

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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.