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Finding the Fourth Proportional to 478,513.56, 660,207.06 and 284,765.95

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Solution

The fourth proportional to 478,513.56, 660,207.06 and 284,765.95 is: 392,892.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,513.56 : 660,207.06 = 284,765.95 : x
  2. Step 2: Convert to fraction form
    478,513.56/660,207.06 = 284,765.95/x
  3. Step 3: Cross multiply
    478,513.56x = 660,207.06 × 284,765.95
  4. Step 4: Simplify right side
    478,513.56x = 188,004,490,864.30
  5. Step 5: Solve for x
    x = 188,004,490,864.30/478,513.56
  6. Step 6: Final answer
    x = 392,892.71

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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.