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Finding the Fourth Proportional to 561,864.32, 842,620.80 and 187,799.84

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Solution

The fourth proportional to 561,864.32, 842,620.80 and 187,799.84 is: 281,641.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,864.32 : 842,620.80 = 187,799.84 : x
  2. Step 2: Convert to fraction form
    561,864.32/842,620.80 = 187,799.84/x
  3. Step 3: Cross multiply
    561,864.32x = 842,620.80 × 187,799.84
  4. Step 4: Simplify right side
    561,864.32x = 158,244,051,420.67
  5. Step 5: Solve for x
    x = 158,244,051,420.67/561,864.32
  6. Step 6: Final answer
    x = 281,641.04

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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.