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Finding the Fourth Proportional to 275,328.54, 412,905.30 and 187,148.70

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Solution

The fourth proportional to 275,328.54, 412,905.30 and 187,148.70 is: 280,663.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,328.54 : 412,905.30 = 187,148.70 : x
  2. Step 2: Convert to fraction form
    275,328.54/412,905.30 = 187,148.70/x
  3. Step 3: Cross multiply
    275,328.54x = 412,905.30 × 187,148.70
  4. Step 4: Simplify right side
    275,328.54x = 77,274,690,118.11
  5. Step 5: Solve for x
    x = 77,274,690,118.11/275,328.54
  6. Step 6: Final answer
    x = 280,663.57

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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.