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Finding the Fourth Proportional to 361,431.54, 542,215.71 and 145,306.98

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Solution

The fourth proportional to 361,431.54, 542,215.71 and 145,306.98 is: 217,987.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,431.54 : 542,215.71 = 145,306.98 : x
  2. Step 2: Convert to fraction form
    361,431.54/542,215.71 = 145,306.98/x
  3. Step 3: Cross multiply
    361,431.54x = 542,215.71 × 145,306.98
  4. Step 4: Simplify right side
    361,431.54x = 78,787,727,328.66
  5. Step 5: Solve for x
    x = 78,787,727,328.66/361,431.54
  6. Step 6: Final answer
    x = 217,987.97

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1.5x scale

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.