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Finding the Fourth Proportional to 342,222.83, 513,385.29 and 142,429.46

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Solution

The fourth proportional to 342,222.83, 513,385.29 and 142,429.46 is: 213,665.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,222.83 : 513,385.29 = 142,429.46 : x
  2. Step 2: Convert to fraction form
    342,222.83/513,385.29 = 142,429.46/x
  3. Step 3: Cross multiply
    342,222.83x = 513,385.29 × 142,429.46
  4. Step 4: Simplify right side
    342,222.83x = 73,121,189,626.64
  5. Step 5: Solve for x
    x = 73,121,189,626.64/342,222.83
  6. Step 6: Final answer
    x = 213,665.43

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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.