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Finding the Fourth Proportional to 424,138.41, 584,877.06 and 280,846.17

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Solution

The fourth proportional to 424,138.41, 584,877.06 and 280,846.17 is: 387,280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,138.41 : 584,877.06 = 280,846.17 : x
  2. Step 2: Convert to fraction form
    424,138.41/584,877.06 = 280,846.17/x
  3. Step 3: Cross multiply
    424,138.41x = 584,877.06 × 280,846.17
  4. Step 4: Simplify right side
    424,138.41x = 164,260,482,221.86
  5. Step 5: Solve for x
    x = 164,260,482,221.86/424,138.41
  6. Step 6: Final answer
    x = 387,280.37

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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.