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Finding the Fourth Proportional to 363,323.34, 545,022.17 and 138,872.70

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Solution

The fourth proportional to 363,323.34, 545,022.17 and 138,872.70 is: 208,323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,323.34 : 545,022.17 = 138,872.70 : x
  2. Step 2: Convert to fraction form
    363,323.34/545,022.17 = 138,872.70/x
  3. Step 3: Cross multiply
    363,323.34x = 545,022.17 × 138,872.70
  4. Step 4: Simplify right side
    363,323.34x = 75,688,700,307.76
  5. Step 5: Solve for x
    x = 75,688,700,307.76/363,323.34
  6. Step 6: Final answer
    x = 208,323.25

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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.