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Finding the Fourth Proportional to 312,643.84, 431,456.52 and 191,851.88

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Solution

The fourth proportional to 312,643.84, 431,456.52 and 191,851.88 is: 264,760.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,643.84 : 431,456.52 = 191,851.88 : x
  2. Step 2: Convert to fraction form
    312,643.84/431,456.52 = 191,851.88/x
  3. Step 3: Cross multiply
    312,643.84x = 431,456.52 × 191,851.88
  4. Step 4: Simplify right side
    312,643.84x = 82,775,744,500.26
  5. Step 5: Solve for x
    x = 82,775,744,500.26/312,643.84
  6. Step 6: Final answer
    x = 264,760.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.