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Finding the Fourth Proportional to 280,707.69, 387,376.20 and 159,849

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Solution

The fourth proportional to 280,707.69, 387,376.20 and 159,849 is: 220,591.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,707.69 : 387,376.20 = 159,849 : x
  2. Step 2: Convert to fraction form
    280,707.69/387,376.20 = 159,849/x
  3. Step 3: Cross multiply
    280,707.69x = 387,376.20 × 159,849
  4. Step 4: Simplify right side
    280,707.69x = 61,921,698,193.80
  5. Step 5: Solve for x
    x = 61,921,698,193.80/280,707.69
  6. Step 6: Final answer
    x = 220,591.39

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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.