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Finding the Fourth Proportional to 228,269.48, 315,079.70 and 147,694.95

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Solution

The fourth proportional to 228,269.48, 315,079.70 and 147,694.95 is: 203,862.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,269.48 : 315,079.70 = 147,694.95 : x
  2. Step 2: Convert to fraction form
    228,269.48/315,079.70 = 147,694.95/x
  3. Step 3: Cross multiply
    228,269.48x = 315,079.70 × 147,694.95
  4. Step 4: Simplify right side
    228,269.48x = 46,535,679,799.04
  5. Step 5: Solve for x
    x = 46,535,679,799.04/228,269.48
  6. Step 6: Final answer
    x = 203,862.91

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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.