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Finding the Fourth Proportional to 478,086.48, 660,207.24 and 299,549.52

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Solution

The fourth proportional to 478,086.48, 660,207.24 and 299,549.52 is: 413,658.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,086.48 : 660,207.24 = 299,549.52 : x
  2. Step 2: Convert to fraction form
    478,086.48/660,207.24 = 299,549.52/x
  3. Step 3: Cross multiply
    478,086.48x = 660,207.24 × 299,549.52
  4. Step 4: Simplify right side
    478,086.48x = 197,764,761,842.53
  5. Step 5: Solve for x
    x = 197,764,761,842.53/478,086.48
  6. Step 6: Final answer
    x = 413,658.97

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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.