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Finding the Fourth Proportional to 312,424.92, 431,146.62 and 169,185.12

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Solution

The fourth proportional to 312,424.92, 431,146.62 and 169,185.12 is: 233,475.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,424.92 : 431,146.62 = 169,185.12 : x
  2. Step 2: Convert to fraction form
    312,424.92/431,146.62 = 169,185.12/x
  3. Step 3: Cross multiply
    312,424.92x = 431,146.62 × 169,185.12
  4. Step 4: Simplify right side
    312,424.92x = 72,943,592,642.29
  5. Step 5: Solve for x
    x = 72,943,592,642.29/312,424.92
  6. Step 6: Final answer
    x = 233,475.59

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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.