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Finding the Fourth Proportional to 312,421.92, 431,142.48 and 169,182.12

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Solution

The fourth proportional to 312,421.92, 431,142.48 and 169,182.12 is: 233,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,421.92 : 431,142.48 = 169,182.12 : x
  2. Step 2: Convert to fraction form
    312,421.92/431,142.48 = 169,182.12/x
  3. Step 3: Cross multiply
    312,421.92x = 431,142.48 × 169,182.12
  4. Step 4: Simplify right side
    312,421.92x = 72,941,598,788.46
  5. Step 5: Solve for x
    x = 72,941,598,788.46/312,421.92
  6. Step 6: Final answer
    x = 233,471.45

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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.