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Finding the Fourth Proportional to 280,874.31, 387,578.70 and 160,008.39

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Solution

The fourth proportional to 280,874.31, 387,578.70 and 160,008.39 is: 220,795.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,874.31 : 387,578.70 = 160,008.39 : x
  2. Step 2: Convert to fraction form
    280,874.31/387,578.70 = 160,008.39/x
  3. Step 3: Cross multiply
    280,874.31x = 387,578.70 × 160,008.39
  4. Step 4: Simplify right side
    280,874.31x = 62,015,843,954.20
  5. Step 5: Solve for x
    x = 62,015,843,954.20/280,874.31
  6. Step 6: Final answer
    x = 220,795.71

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1.5x scale

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.