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Finding the Fourth Proportional to 309,232.64, 464,023.92 and 131,721.12

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Solution

The fourth proportional to 309,232.64, 464,023.92 and 131,721.12 is: 197,656.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,232.64 : 464,023.92 = 131,721.12 : x
  2. Step 2: Convert to fraction form
    309,232.64/464,023.92 = 131,721.12/x
  3. Step 3: Cross multiply
    309,232.64x = 464,023.92 × 131,721.12
  4. Step 4: Simplify right side
    309,232.64x = 61,121,750,449.19
  5. Step 5: Solve for x
    x = 61,121,750,449.19/309,232.64
  6. Step 6: Final answer
    x = 197,656.21

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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.