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Finding the Fourth Proportional to 478,454.40, 659,975.11 and 284,732.24

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Solution

The fourth proportional to 478,454.40, 659,975.11 and 284,732.24 is: 392,756.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,454.40 : 659,975.11 = 284,732.24 : x
  2. Step 2: Convert to fraction form
    478,454.40/659,975.11 = 284,732.24/x
  3. Step 3: Cross multiply
    478,454.40x = 659,975.11 × 284,732.24
  4. Step 4: Simplify right side
    478,454.40x = 187,916,187,402.84
  5. Step 5: Solve for x
    x = 187,916,187,402.84/478,454.40
  6. Step 6: Final answer
    x = 392,756.73

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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.