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Finding the Fourth Proportional to 542,978.72, 814,585.11 and 163,867.74

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Solution

The fourth proportional to 542,978.72, 814,585.11 and 163,867.74 is: 245,836.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,978.72 : 814,585.11 = 163,867.74 : x
  2. Step 2: Convert to fraction form
    542,978.72/814,585.11 = 163,867.74/x
  3. Step 3: Cross multiply
    542,978.72x = 814,585.11 × 163,867.74
  4. Step 4: Simplify right side
    542,978.72x = 133,484,221,013.35
  5. Step 5: Solve for x
    x = 133,484,221,013.35/542,978.72
  6. Step 6: Final answer
    x = 245,836.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.