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Finding the Fourth Proportional to 253,741.60, 380,618.57 and 85,264.36

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Solution

The fourth proportional to 253,741.60, 380,618.57 and 85,264.36 is: 127,898.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,741.60 : 380,618.57 = 85,264.36 : x
  2. Step 2: Convert to fraction form
    253,741.60/380,618.57 = 85,264.36/x
  3. Step 3: Cross multiply
    253,741.60x = 380,618.57 × 85,264.36
  4. Step 4: Simplify right side
    253,741.60x = 32,453,199,726.71
  5. Step 5: Solve for x
    x = 32,453,199,726.71/253,741.60
  6. Step 6: Final answer
    x = 127,898.62

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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.