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Finding the Fourth Proportional to 280,835.80, 421,253.70 and 156,176.80

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Solution

The fourth proportional to 280,835.80, 421,253.70 and 156,176.80 is: 234,265.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,835.80 : 421,253.70 = 156,176.80 : x
  2. Step 2: Convert to fraction form
    280,835.80/421,253.70 = 156,176.80/x
  3. Step 3: Cross multiply
    280,835.80x = 421,253.70 × 156,176.80
  4. Step 4: Simplify right side
    280,835.80x = 65,790,054,854.16
  5. Step 5: Solve for x
    x = 65,790,054,854.16/280,835.80
  6. Step 6: Final answer
    x = 234,265.20

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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.