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Finding the Fourth Proportional to 342,206.82, 513,266.40 and 142,489.98

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Solution

The fourth proportional to 342,206.82, 513,266.40 and 142,489.98 is: 213,716.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,206.82 : 513,266.40 = 142,489.98 : x
  2. Step 2: Convert to fraction form
    342,206.82/513,266.40 = 142,489.98/x
  3. Step 3: Cross multiply
    342,206.82x = 513,266.40 × 142,489.98
  4. Step 4: Simplify right side
    342,206.82x = 73,135,319,070.67
  5. Step 5: Solve for x
    x = 73,135,319,070.67/342,206.82
  6. Step 6: Final answer
    x = 213,716.72

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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.