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Finding the Fourth Proportional to 342,649.56, 513,678.72 and 164,912.04

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Solution

The fourth proportional to 342,649.56, 513,678.72 and 164,912.04 is: 247,225.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,649.56 : 513,678.72 = 164,912.04 : x
  2. Step 2: Convert to fraction form
    342,649.56/513,678.72 = 164,912.04/x
  3. Step 3: Cross multiply
    342,649.56x = 513,678.72 × 164,912.04
  4. Step 4: Simplify right side
    342,649.56x = 84,711,805,619.79
  5. Step 5: Solve for x
    x = 84,711,805,619.79/342,649.56
  6. Step 6: Final answer
    x = 247,225.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.