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Finding the Fourth Proportional to 280,306.62, 386,701.78 and 171,415.71

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Solution

The fourth proportional to 280,306.62, 386,701.78 and 171,415.71 is: 236,479.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,306.62 : 386,701.78 = 171,415.71 : x
  2. Step 2: Convert to fraction form
    280,306.62/386,701.78 = 171,415.71/x
  3. Step 3: Cross multiply
    280,306.62x = 386,701.78 × 171,415.71
  4. Step 4: Simplify right side
    280,306.62x = 66,286,760,715.18
  5. Step 5: Solve for x
    x = 66,286,760,715.18/280,306.62
  6. Step 6: Final answer
    x = 236,479.47

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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.