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Finding the Fourth Proportional to 282,750.10, 424,125.15 and 156,778.90

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Solution

The fourth proportional to 282,750.10, 424,125.15 and 156,778.90 is: 235,168.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,750.10 : 424,125.15 = 156,778.90 : x
  2. Step 2: Convert to fraction form
    282,750.10/424,125.15 = 156,778.90/x
  3. Step 3: Cross multiply
    282,750.10x = 424,125.15 × 156,778.90
  4. Step 4: Simplify right side
    282,750.10x = 66,493,874,479.34
  5. Step 5: Solve for x
    x = 66,493,874,479.34/282,750.10
  6. Step 6: Final answer
    x = 235,168.35

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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.