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Finding the Fourth Proportional to 381,666.08, 572,447.28 and 145,068.32

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Solution

The fourth proportional to 381,666.08, 572,447.28 and 145,068.32 is: 217,582.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,666.08 : 572,447.28 = 145,068.32 : x
  2. Step 2: Convert to fraction form
    381,666.08/572,447.28 = 145,068.32/x
  3. Step 3: Cross multiply
    381,666.08x = 572,447.28 × 145,068.32
  4. Step 4: Simplify right side
    381,666.08x = 83,043,965,198.17
  5. Step 5: Solve for x
    x = 83,043,965,198.17/381,666.08
  6. Step 6: Final answer
    x = 217,582.78

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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.