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Finding the Fourth Proportional to 275,564, 412,960.92 and 148,931.24

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Solution

The fourth proportional to 275,564, 412,960.92 and 148,931.24 is: 223,188.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,564 : 412,960.92 = 148,931.24 : x
  2. Step 2: Convert to fraction form
    275,564/412,960.92 = 148,931.24/x
  3. Step 3: Cross multiply
    275,564x = 412,960.92 × 148,931.24
  4. Step 4: Simplify right side
    275,564x = 61,502,781,887.14
  5. Step 5: Solve for x
    x = 61,502,781,887.14/275,564
  6. Step 6: Final answer
    x = 223,188.74

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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.