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Finding the Fourth Proportional to 417,960.68, 576,962.31 and 282,178.55

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Solution

The fourth proportional to 417,960.68, 576,962.31 and 282,178.55 is: 389,525.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,960.68 : 576,962.31 = 282,178.55 : x
  2. Step 2: Convert to fraction form
    417,960.68/576,962.31 = 282,178.55/x
  3. Step 3: Cross multiply
    417,960.68x = 576,962.31 × 282,178.55
  4. Step 4: Simplify right side
    417,960.68x = 162,806,385,155.64
  5. Step 5: Solve for x
    x = 162,806,385,155.64/417,960.68
  6. Step 6: Final answer
    x = 389,525.61

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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.