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Finding the Fourth Proportional to 261,954.82, 392,652.43 and 149,392.65

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Solution

The fourth proportional to 261,954.82, 392,652.43 and 149,392.65 is: 223,929.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,954.82 : 392,652.43 = 149,392.65 : x
  2. Step 2: Convert to fraction form
    261,954.82/392,652.43 = 149,392.65/x
  3. Step 3: Cross multiply
    261,954.82x = 392,652.43 × 149,392.65
  4. Step 4: Simplify right side
    261,954.82x = 58,659,386,673.16
  5. Step 5: Solve for x
    x = 58,659,386,673.16/261,954.82
  6. Step 6: Final answer
    x = 223,929.41

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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.