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Finding the Fourth Proportional to 491,143.32, 736,715.14 and 220,955.84

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Solution

The fourth proportional to 491,143.32, 736,715.14 and 220,955.84 is: 331,433.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,143.32 : 736,715.14 = 220,955.84 : x
  2. Step 2: Convert to fraction form
    491,143.32/736,715.14 = 220,955.84/x
  3. Step 3: Cross multiply
    491,143.32x = 736,715.14 × 220,955.84
  4. Step 4: Simplify right side
    491,143.32x = 162,781,512,599.42
  5. Step 5: Solve for x
    x = 162,781,512,599.42/491,143.32
  6. Step 6: Final answer
    x = 331,433.83

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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.