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Finding the Fourth Proportional to 253,376.20, 380,123.42 and 73,465.38

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Solution

The fourth proportional to 253,376.20, 380,123.42 and 73,465.38 is: 110,215.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,376.20 : 380,123.42 = 73,465.38 : x
  2. Step 2: Convert to fraction form
    253,376.20/380,123.42 = 73,465.38/x
  3. Step 3: Cross multiply
    253,376.20x = 380,123.42 × 73,465.38
  4. Step 4: Simplify right side
    253,376.20x = 27,925,911,129.87
  5. Step 5: Solve for x
    x = 27,925,911,129.87/253,376.20
  6. Step 6: Final answer
    x = 110,215.21

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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.