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Finding the Fourth Proportional to 312,473.19, 431,212.86 and 169,233.24

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Solution

The fourth proportional to 312,473.19, 431,212.86 and 169,233.24 is: 233,541.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,473.19 : 431,212.86 = 169,233.24 : x
  2. Step 2: Convert to fraction form
    312,473.19/431,212.86 = 169,233.24/x
  3. Step 3: Cross multiply
    312,473.19x = 431,212.86 × 169,233.24
  4. Step 4: Simplify right side
    312,473.19x = 72,975,549,427.47
  5. Step 5: Solve for x
    x = 72,975,549,427.47/312,473.19
  6. Step 6: Final answer
    x = 233,541.79

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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.