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Finding the Fourth Proportional to 944,916, 1,417,374 and 280,068

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Solution

The fourth proportional to 944,916, 1,417,374 and 280,068 is: 420,102

Step by Step Solution

  1. Step 1: Write the proportion equation
    944,916 : 1,417,374 = 280,068 : x
  2. Step 2: Convert to fraction form
    944,916/1,417,374 = 280,068/x
  3. Step 3: Cross multiply
    944,916x = 1,417,374 × 280,068
  4. Step 4: Simplify right side
    944,916x = 396,961,101,432
  5. Step 5: Solve for x
    x = 396,961,101,432/944,916
  6. Step 6: Final answer
    x = 420,102

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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.