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Finding the Fourth Proportional to 253,440.88, 380,292.36 and 111,385.82

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Solution

The fourth proportional to 253,440.88, 380,292.36 and 111,385.82 is: 167,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,440.88 : 380,292.36 = 111,385.82 : x
  2. Step 2: Convert to fraction form
    253,440.88/380,292.36 = 111,385.82/x
  3. Step 3: Cross multiply
    253,440.88x = 380,292.36 × 111,385.82
  4. Step 4: Simplify right side
    253,440.88x = 42,359,176,358.34
  5. Step 5: Solve for x
    x = 42,359,176,358.34/253,440.88
  6. Step 6: Final answer
    x = 167,136.32

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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.