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Finding the Fourth Proportional to 280,641.57, 387,276.71 and 159,800.10

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Solution

The fourth proportional to 280,641.57, 387,276.71 and 159,800.10 is: 220,519.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,641.57 : 387,276.71 = 159,800.10 : x
  2. Step 2: Convert to fraction form
    280,641.57/387,276.71 = 159,800.10/x
  3. Step 3: Cross multiply
    280,641.57x = 387,276.71 × 159,800.10
  4. Step 4: Simplify right side
    280,641.57x = 61,886,856,186.67
  5. Step 5: Solve for x
    x = 61,886,856,186.67/280,641.57
  6. Step 6: Final answer
    x = 220,519.21

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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.