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Finding the Fourth Proportional to 384,169.80, 576,254.70 and 134,819.40

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Solution

The fourth proportional to 384,169.80, 576,254.70 and 134,819.40 is: 202,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,169.80 : 576,254.70 = 134,819.40 : x
  2. Step 2: Convert to fraction form
    384,169.80/576,254.70 = 134,819.40/x
  3. Step 3: Cross multiply
    384,169.80x = 576,254.70 × 134,819.40
  4. Step 4: Simplify right side
    384,169.80x = 77,690,312,901.18
  5. Step 5: Solve for x
    x = 77,690,312,901.18/384,169.80
  6. Step 6: Final answer
    x = 202,229.10

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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.