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Finding the Fourth Proportional to 382,432.80, 527,888.16 and 231,529.68

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Solution

The fourth proportional to 382,432.80, 527,888.16 and 231,529.68 is: 319,590.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,432.80 : 527,888.16 = 231,529.68 : x
  2. Step 2: Convert to fraction form
    382,432.80/527,888.16 = 231,529.68/x
  3. Step 3: Cross multiply
    382,432.80x = 527,888.16 × 231,529.68
  4. Step 4: Simplify right side
    382,432.80x = 122,221,776,760.59
  5. Step 5: Solve for x
    x = 122,221,776,760.59/382,432.80
  6. Step 6: Final answer
    x = 319,590.20

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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.