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Finding the Fourth Proportional to 312,330.86, 431,017.57 and 169,091.47

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Solution

The fourth proportional to 312,330.86, 431,017.57 and 169,091.47 is: 233,346.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,330.86 : 431,017.57 = 169,091.47 : x
  2. Step 2: Convert to fraction form
    312,330.86/431,017.57 = 169,091.47/x
  3. Step 3: Cross multiply
    312,330.86x = 431,017.57 × 169,091.47
  4. Step 4: Simplify right side
    312,330.86x = 72,881,394,507.13
  5. Step 5: Solve for x
    x = 72,881,394,507.13/312,330.86
  6. Step 6: Final answer
    x = 233,346.76

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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.