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Finding the Fourth Proportional to 487,141.60, 730,823.10 and 220,978.30

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Solution

The fourth proportional to 487,141.60, 730,823.10 and 220,978.30 is: 331,517.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,141.60 : 730,823.10 = 220,978.30 : x
  2. Step 2: Convert to fraction form
    487,141.60/730,823.10 = 220,978.30/x
  3. Step 3: Cross multiply
    487,141.60x = 730,823.10 × 220,978.30
  4. Step 4: Simplify right side
    487,141.60x = 161,496,046,238.73
  5. Step 5: Solve for x
    x = 161,496,046,238.73/487,141.60
  6. Step 6: Final answer
    x = 331,517.67

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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.