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Finding the Fourth Proportional to 280,641.66, 387,242.78 and 159,788.04

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Solution

The fourth proportional to 280,641.66, 387,242.78 and 159,788.04 is: 220,483.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,641.66 : 387,242.78 = 159,788.04 : x
  2. Step 2: Convert to fraction form
    280,641.66/387,242.78 = 159,788.04/x
  3. Step 3: Cross multiply
    280,641.66x = 387,242.78 × 159,788.04
  4. Step 4: Simplify right side
    280,641.66x = 61,876,764,820.35
  5. Step 5: Solve for x
    x = 61,876,764,820.35/280,641.66
  6. Step 6: Final answer
    x = 220,483.18

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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.