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Finding the Fourth Proportional to 280,640.95, 387,302.36 and 159,792.80

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Solution

The fourth proportional to 280,640.95, 387,302.36 and 159,792.80 is: 220,524.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,640.95 : 387,302.36 = 159,792.80 : x
  2. Step 2: Convert to fraction form
    280,640.95/387,302.36 = 159,792.80/x
  3. Step 3: Cross multiply
    280,640.95x = 387,302.36 × 159,792.80
  4. Step 4: Simplify right side
    280,640.95x = 61,888,125,815.53
  5. Step 5: Solve for x
    x = 61,888,125,815.53/280,640.95
  6. Step 6: Final answer
    x = 220,524.22

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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.