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Finding the Fourth Proportional to 468,077.80, 645,945.96 and 253,217.82

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Solution

The fourth proportional to 468,077.80, 645,945.96 and 253,217.82 is: 349,439.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,077.80 : 645,945.96 = 253,217.82 : x
  2. Step 2: Convert to fraction form
    468,077.80/645,945.96 = 253,217.82/x
  3. Step 3: Cross multiply
    468,077.80x = 645,945.96 × 253,217.82
  4. Step 4: Simplify right side
    468,077.80x = 163,565,027,829.01
  5. Step 5: Solve for x
    x = 163,565,027,829.01/468,077.80
  6. Step 6: Final answer
    x = 349,439.83

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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.