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Finding the Fourth Proportional to 280,508.40, 387,049.47 and 159,642.50

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Solution

The fourth proportional to 280,508.40, 387,049.47 and 159,642.50 is: 220,276.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,508.40 : 387,049.47 = 159,642.50 : x
  2. Step 2: Convert to fraction form
    280,508.40/387,049.47 = 159,642.50/x
  3. Step 3: Cross multiply
    280,508.40x = 387,049.47 × 159,642.50
  4. Step 4: Simplify right side
    280,508.40x = 61,789,543,079.23
  5. Step 5: Solve for x
    x = 61,789,543,079.23/280,508.40
  6. Step 6: Final answer
    x = 220,276.98

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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.