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Finding the Fourth Proportional to 280,705.69, 387,373.44 and 159,847

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Solution

The fourth proportional to 280,705.69, 387,373.44 and 159,847 is: 220,588.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,705.69 : 387,373.44 = 159,847 : x
  2. Step 2: Convert to fraction form
    280,705.69/387,373.44 = 159,847/x
  3. Step 3: Cross multiply
    280,705.69x = 387,373.44 × 159,847
  4. Step 4: Simplify right side
    280,705.69x = 61,920,482,263.68
  5. Step 5: Solve for x
    x = 61,920,482,263.68/280,705.69
  6. Step 6: Final answer
    x = 220,588.63

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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.