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Finding the Fourth Proportional to 478,228.48, 660,403.20 and 299,691.52

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Solution

The fourth proportional to 478,228.48, 660,403.20 and 299,691.52 is: 413,854.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,228.48 : 660,403.20 = 299,691.52 : x
  2. Step 2: Convert to fraction form
    478,228.48/660,403.20 = 299,691.52/x
  3. Step 3: Cross multiply
    478,228.48x = 660,403.20 × 299,691.52
  4. Step 4: Simplify right side
    478,228.48x = 197,917,238,820.86
  5. Step 5: Solve for x
    x = 197,917,238,820.86/478,228.48
  6. Step 6: Final answer
    x = 413,854.98

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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.