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Finding the Fourth Proportional to 322,411.59, 482,875.88 and 187,140.65

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Solution

The fourth proportional to 322,411.59, 482,875.88 and 187,140.65 is: 280,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,411.59 : 482,875.88 = 187,140.65 : x
  2. Step 2: Convert to fraction form
    322,411.59/482,875.88 = 187,140.65/x
  3. Step 3: Cross multiply
    322,411.59x = 482,875.88 × 187,140.65
  4. Step 4: Simplify right side
    322,411.59x = 90,365,702,702.44
  5. Step 5: Solve for x
    x = 90,365,702,702.44/322,411.59
  6. Step 6: Final answer
    x = 280,280.57

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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.