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Finding the Fourth Proportional to 261,832.40, 361,375.76 and 154,396

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Solution

The fourth proportional to 261,832.40, 361,375.76 and 154,396 is: 213,094.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,832.40 : 361,375.76 = 154,396 : x
  2. Step 2: Convert to fraction form
    261,832.40/361,375.76 = 154,396/x
  3. Step 3: Cross multiply
    261,832.40x = 361,375.76 × 154,396
  4. Step 4: Simplify right side
    261,832.40x = 55,794,971,840.96
  5. Step 5: Solve for x
    x = 55,794,971,840.96/261,832.40
  6. Step 6: Final answer
    x = 213,094.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.