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Finding the Fourth Proportional to 382,041.40, 527,186.26 and 220,906.88

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Solution

The fourth proportional to 382,041.40, 527,186.26 and 220,906.88 is: 304,833.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,041.40 : 527,186.26 = 220,906.88 : x
  2. Step 2: Convert to fraction form
    382,041.40/527,186.26 = 220,906.88/x
  3. Step 3: Cross multiply
    382,041.40x = 527,186.26 × 220,906.88
  4. Step 4: Simplify right side
    382,041.40x = 116,459,071,875.47
  5. Step 5: Solve for x
    x = 116,459,071,875.47/382,041.40
  6. Step 6: Final answer
    x = 304,833.64

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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.