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Finding the Fourth Proportional to 561,425.76, 842,167.80 and 280,848.24

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Solution

The fourth proportional to 561,425.76, 842,167.80 and 280,848.24 is: 421,286.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,425.76 : 842,167.80 = 280,848.24 : x
  2. Step 2: Convert to fraction form
    561,425.76/842,167.80 = 280,848.24/x
  3. Step 3: Cross multiply
    561,425.76x = 842,167.80 × 280,848.24
  4. Step 4: Simplify right side
    561,425.76x = 236,521,344,414.67
  5. Step 5: Solve for x
    x = 236,521,344,414.67/561,425.76
  6. Step 6: Final answer
    x = 421,286.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.