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Finding the Fourth Proportional to 386,048.48, 532,768.80 and 216,337.28

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Solution

The fourth proportional to 386,048.48, 532,768.80 and 216,337.28 is: 298,557.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,048.48 : 532,768.80 = 216,337.28 : x
  2. Step 2: Convert to fraction form
    386,048.48/532,768.80 = 216,337.28/x
  3. Step 3: Cross multiply
    386,048.48x = 532,768.80 × 216,337.28
  4. Step 4: Simplify right side
    386,048.48x = 115,257,753,060.86
  5. Step 5: Solve for x
    x = 115,257,753,060.86/386,048.48
  6. Step 6: Final answer
    x = 298,557.72

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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.