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Finding the Fourth Proportional to 312,343.92, 431,034 and 169,103.94

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Solution

The fourth proportional to 312,343.92, 431,034 and 169,103.94 is: 233,363.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,343.92 : 431,034 = 169,103.94 : x
  2. Step 2: Convert to fraction form
    312,343.92/431,034 = 169,103.94/x
  3. Step 3: Cross multiply
    312,343.92x = 431,034 × 169,103.94
  4. Step 4: Simplify right side
    312,343.92x = 72,889,547,673.96
  5. Step 5: Solve for x
    x = 72,889,547,673.96/312,343.92
  6. Step 6: Final answer
    x = 233,363.11

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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.