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Finding the Fourth Proportional to 398,347.86, 549,712.92 and 217,061.36

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Solution

The fourth proportional to 398,347.86, 549,712.92 and 217,061.36 is: 299,540.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,347.86 : 549,712.92 = 217,061.36 : x
  2. Step 2: Convert to fraction form
    398,347.86/549,712.92 = 217,061.36/x
  3. Step 3: Cross multiply
    398,347.86x = 549,712.92 × 217,061.36
  4. Step 4: Simplify right side
    398,347.86x = 119,321,434,024.77
  5. Step 5: Solve for x
    x = 119,321,434,024.77/398,347.86
  6. Step 6: Final answer
    x = 299,540.79

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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.