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Finding the Fourth Proportional to 384,306.71, 530,564.63 and 255,419.97

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Solution

The fourth proportional to 384,306.71, 530,564.63 and 255,419.97 is: 352,626.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,306.71 : 530,564.63 = 255,419.97 : x
  2. Step 2: Convert to fraction form
    384,306.71/530,564.63 = 255,419.97/x
  3. Step 3: Cross multiply
    384,306.71x = 530,564.63 × 255,419.97
  4. Step 4: Simplify right side
    384,306.71x = 135,516,797,947.74
  5. Step 5: Solve for x
    x = 135,516,797,947.74/384,306.71
  6. Step 6: Final answer
    x = 352,626.68

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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.