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Finding the Fourth Proportional to 228,438.13, 315,200.87 and 147,854.47

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Solution

The fourth proportional to 228,438.13, 315,200.87 and 147,854.47 is: 204,010.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,438.13 : 315,200.87 = 147,854.47 : x
  2. Step 2: Convert to fraction form
    228,438.13/315,200.87 = 147,854.47/x
  3. Step 3: Cross multiply
    228,438.13x = 315,200.87 × 147,854.47
  4. Step 4: Simplify right side
    228,438.13x = 46,603,856,001.38
  5. Step 5: Solve for x
    x = 46,603,856,001.38/228,438.13
  6. Step 6: Final answer
    x = 204,010.85

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1.5x scale

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.