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Finding the Fourth Proportional to 316,874.61, 474,991.86 and 198,628.92

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Solution

The fourth proportional to 316,874.61, 474,991.86 and 198,628.92 is: 297,742.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,874.61 : 474,991.86 = 198,628.92 : x
  2. Step 2: Convert to fraction form
    316,874.61/474,991.86 = 198,628.92/x
  3. Step 3: Cross multiply
    316,874.61x = 474,991.86 × 198,628.92
  4. Step 4: Simplify right side
    316,874.61x = 94,347,120,160.59
  5. Step 5: Solve for x
    x = 94,347,120,160.59/316,874.61
  6. Step 6: Final answer
    x = 297,742.76

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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.