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Finding the Fourth Proportional to 312,439.41, 431,165.52 and 169,199.42

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Solution

The fourth proportional to 312,439.41, 431,165.52 and 169,199.42 is: 233,494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,439.41 : 431,165.52 = 169,199.42 : x
  2. Step 2: Convert to fraction form
    312,439.41/431,165.52 = 169,199.42/x
  3. Step 3: Cross multiply
    312,439.41x = 431,165.52 × 169,199.42
  4. Step 4: Simplify right side
    312,439.41x = 72,952,953,752.17
  5. Step 5: Solve for x
    x = 72,952,953,752.17/312,439.41
  6. Step 6: Final answer
    x = 233,494.72

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1.5x scale

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.