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Finding the Fourth Proportional to 312,797.96, 431,382.47 and 243,904.50

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Solution

The fourth proportional to 312,797.96, 431,382.47 and 243,904.50 is: 336,370.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,797.96 : 431,382.47 = 243,904.50 : x
  2. Step 2: Convert to fraction form
    312,797.96/431,382.47 = 243,904.50/x
  3. Step 3: Cross multiply
    312,797.96x = 431,382.47 × 243,904.50
  4. Step 4: Simplify right side
    312,797.96x = 105,216,125,654.12
  5. Step 5: Solve for x
    x = 105,216,125,654.12/312,797.96
  6. Step 6: Final answer
    x = 336,370.88

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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.