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Finding the Fourth Proportional to 280,658.66, 387,309.32 and 159,800

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Solution

The fourth proportional to 280,658.66, 387,309.32 and 159,800 is: 220,524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,658.66 : 387,309.32 = 159,800 : x
  2. Step 2: Convert to fraction form
    280,658.66/387,309.32 = 159,800/x
  3. Step 3: Cross multiply
    280,658.66x = 387,309.32 × 159,800
  4. Step 4: Simplify right side
    280,658.66x = 61,892,029,336
  5. Step 5: Solve for x
    x = 61,892,029,336/280,658.66
  6. Step 6: Final answer
    x = 220,524.21

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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.