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Finding the Fourth Proportional to 280,178.38, 386,637.87 and 159,332.86

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Solution

The fourth proportional to 280,178.38, 386,637.87 and 159,332.86 is: 219,874.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,178.38 : 386,637.87 = 159,332.86 : x
  2. Step 2: Convert to fraction form
    280,178.38/386,637.87 = 159,332.86/x
  3. Step 3: Cross multiply
    280,178.38x = 386,637.87 × 159,332.86
  4. Step 4: Simplify right side
    280,178.38x = 61,604,117,611.41
  5. Step 5: Solve for x
    x = 61,604,117,611.41/280,178.38
  6. Step 6: Final answer
    x = 219,874.63

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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.