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Finding the Fourth Proportional to 282,432.52, 389,763.60 and 155,110.84

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Solution

The fourth proportional to 282,432.52, 389,763.60 and 155,110.84 is: 214,056.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,432.52 : 389,763.60 = 155,110.84 : x
  2. Step 2: Convert to fraction form
    282,432.52/389,763.60 = 155,110.84/x
  3. Step 3: Cross multiply
    282,432.52x = 389,763.60 × 155,110.84
  4. Step 4: Simplify right side
    282,432.52x = 60,456,559,397.42
  5. Step 5: Solve for x
    x = 60,456,559,397.42/282,432.52
  6. Step 6: Final answer
    x = 214,056.65

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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.