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Finding the Fourth Proportional to 491,176.66, 736,765.16 and 220,989.20

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Solution

The fourth proportional to 491,176.66, 736,765.16 and 220,989.20 is: 331,483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,176.66 : 736,765.16 = 220,989.20 : x
  2. Step 2: Convert to fraction form
    491,176.66/736,765.16 = 220,989.20/x
  3. Step 3: Cross multiply
    491,176.66x = 736,765.16 × 220,989.20
  4. Step 4: Simplify right side
    491,176.66x = 162,817,143,296.27
  5. Step 5: Solve for x
    x = 162,817,143,296.27/491,176.66
  6. Step 6: Final answer
    x = 331,483.88

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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.