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Finding the Fourth Proportional to 261,522.57, 391,909.59 and 148,970.37

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Solution

The fourth proportional to 261,522.57, 391,909.59 and 148,970.37 is: 223,242.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,522.57 : 391,909.59 = 148,970.37 : x
  2. Step 2: Convert to fraction form
    261,522.57/391,909.59 = 148,970.37/x
  3. Step 3: Cross multiply
    261,522.57x = 391,909.59 × 148,970.37
  4. Step 4: Simplify right side
    261,522.57x = 58,382,916,628.85
  5. Step 5: Solve for x
    x = 58,382,916,628.85/261,522.57
  6. Step 6: Final answer
    x = 223,242.36

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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.