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Finding the Fourth Proportional to 253,509, 380,637.32 and 141,408.24

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Solution

The fourth proportional to 253,509, 380,637.32 and 141,408.24 is: 212,320.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,509 : 380,637.32 = 141,408.24 : x
  2. Step 2: Convert to fraction form
    253,509/380,637.32 = 141,408.24/x
  3. Step 3: Cross multiply
    253,509x = 380,637.32 × 141,408.24
  4. Step 4: Simplify right side
    253,509x = 53,825,253,499.52
  5. Step 5: Solve for x
    x = 53,825,253,499.52/253,509
  6. Step 6: Final answer
    x = 212,320.88

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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.