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Finding the Fourth Proportional to 342,161.13, 513,231.06 and 142,476.49

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Solution

The fourth proportional to 342,161.13, 513,231.06 and 142,476.49 is: 213,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,161.13 : 513,231.06 = 142,476.49 : x
  2. Step 2: Convert to fraction form
    342,161.13/513,231.06 = 142,476.49/x
  3. Step 3: Cross multiply
    342,161.13x = 513,231.06 × 142,476.49
  4. Step 4: Simplify right side
    342,161.13x = 73,123,357,421.62
  5. Step 5: Solve for x
    x = 73,123,357,421.62/342,161.13
  6. Step 6: Final answer
    x = 213,710.30

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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.