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Finding the Fourth Proportional to 253,748.40, 380,347.92 and 165,065.28

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Solution

The fourth proportional to 253,748.40, 380,347.92 and 165,065.28 is: 247,419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,748.40 : 380,347.92 = 165,065.28 : x
  2. Step 2: Convert to fraction form
    253,748.40/380,347.92 = 165,065.28/x
  3. Step 3: Cross multiply
    253,748.40x = 380,347.92 × 165,065.28
  4. Step 4: Simplify right side
    253,748.40x = 62,782,235,912.22
  5. Step 5: Solve for x
    x = 62,782,235,912.22/253,748.40
  6. Step 6: Final answer
    x = 247,419.24

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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.