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Finding the Fourth Proportional to 253,508, 380,635.81 and 141,407.24

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Solution

The fourth proportional to 253,508, 380,635.81 and 141,407.24 is: 212,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,508 : 380,635.81 = 141,407.24 : x
  2. Step 2: Convert to fraction form
    253,508/380,635.81 = 141,407.24/x
  3. Step 3: Cross multiply
    253,508x = 380,635.81 × 141,407.24
  4. Step 4: Simplify right side
    253,508x = 53,824,659,337.26
  5. Step 5: Solve for x
    x = 53,824,659,337.26/253,508
  6. Step 6: Final answer
    x = 212,319.37

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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.