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Finding the Fourth Proportional to 312,472.81, 431,212.35 and 169,232.86

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Solution

The fourth proportional to 312,472.81, 431,212.35 and 169,232.86 is: 233,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,472.81 : 431,212.35 = 169,232.86 : x
  2. Step 2: Convert to fraction form
    312,472.81/431,212.35 = 169,232.86/x
  3. Step 3: Cross multiply
    312,472.81x = 431,212.35 × 169,232.86
  4. Step 4: Simplify right side
    312,472.81x = 72,975,299,257.82
  5. Step 5: Solve for x
    x = 72,975,299,257.82/312,472.81
  6. Step 6: Final answer
    x = 233,541.28

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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.