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Finding the Fourth Proportional to 253,858.32, 380,750.28 and 66,869.52

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Solution

The fourth proportional to 253,858.32, 380,750.28 and 66,869.52 is: 100,294.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,858.32 : 380,750.28 = 66,869.52 : x
  2. Step 2: Convert to fraction form
    253,858.32/380,750.28 = 66,869.52/x
  3. Step 3: Cross multiply
    253,858.32x = 380,750.28 × 66,869.52
  4. Step 4: Simplify right side
    253,858.32x = 25,460,588,463.47
  5. Step 5: Solve for x
    x = 25,460,588,463.47/253,858.32
  6. Step 6: Final answer
    x = 100,294.48

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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.