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Finding the Fourth Proportional to 342,220.33, 513,417.98 and 142,474.33

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Solution

The fourth proportional to 342,220.33, 513,417.98 and 142,474.33 is: 213,747.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,220.33 : 513,417.98 = 142,474.33 : x
  2. Step 2: Convert to fraction form
    342,220.33/513,417.98 = 142,474.33/x
  3. Step 3: Cross multiply
    342,220.33x = 513,417.98 × 142,474.33
  4. Step 4: Simplify right side
    342,220.33x = 73,148,882,710.45
  5. Step 5: Solve for x
    x = 73,148,882,710.45/342,220.33
  6. Step 6: Final answer
    x = 213,747.92

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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.