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Finding the Fourth Proportional to 561,405.30, 842,115.15 and 187,428.30

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Solution

The fourth proportional to 561,405.30, 842,115.15 and 187,428.30 is: 281,144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,405.30 : 842,115.15 = 187,428.30 : x
  2. Step 2: Convert to fraction form
    561,405.30/842,115.15 = 187,428.30/x
  3. Step 3: Cross multiply
    561,405.30x = 842,115.15 × 187,428.30
  4. Step 4: Simplify right side
    561,405.30x = 157,836,210,968.75
  5. Step 5: Solve for x
    x = 157,836,210,968.75/561,405.30
  6. Step 6: Final answer
    x = 281,144.85

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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.