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Finding the Fourth Proportional to 384,073.83, 530,221.17 and 280,591.97

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Solution

The fourth proportional to 384,073.83, 530,221.17 and 280,591.97 is: 387,362.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,073.83 : 530,221.17 = 280,591.97 : x
  2. Step 2: Convert to fraction form
    384,073.83/530,221.17 = 280,591.97/x
  3. Step 3: Cross multiply
    384,073.83x = 530,221.17 × 280,591.97
  4. Step 4: Simplify right side
    384,073.83x = 148,775,802,626.01
  5. Step 5: Solve for x
    x = 148,775,802,626.01/384,073.83
  6. Step 6: Final answer
    x = 387,362.51

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1.5x scale

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.