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Finding the Fourth Proportional to 280,755.75, 421,013.75 and 162,508.71

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Solution

The fourth proportional to 280,755.75, 421,013.75 and 162,508.71 is: 243,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,755.75 : 421,013.75 = 162,508.71 : x
  2. Step 2: Convert to fraction form
    280,755.75/421,013.75 = 162,508.71/x
  3. Step 3: Cross multiply
    280,755.75x = 421,013.75 × 162,508.71
  4. Step 4: Simplify right side
    280,755.75x = 68,418,400,592.22
  5. Step 5: Solve for x
    x = 68,418,400,592.22/280,755.75
  6. Step 6: Final answer
    x = 243,693.68

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1.5x scale

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.