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Finding the Fourth Proportional to 386,122.50, 532,827.26 and 225,003.78

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Solution

The fourth proportional to 386,122.50, 532,827.26 and 225,003.78 is: 310,492.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,122.50 : 532,827.26 = 225,003.78 : x
  2. Step 2: Convert to fraction form
    386,122.50/532,827.26 = 225,003.78/x
  3. Step 3: Cross multiply
    386,122.50x = 532,827.26 × 225,003.78
  4. Step 4: Simplify right side
    386,122.50x = 119,888,147,587.04
  5. Step 5: Solve for x
    x = 119,888,147,587.04/386,122.50
  6. Step 6: Final answer
    x = 310,492.52

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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.