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Finding the Fourth Proportional to 342,160.86, 513,328.74 and 142,414.86

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Solution

The fourth proportional to 342,160.86, 513,328.74 and 142,414.86 is: 213,658.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,160.86 : 513,328.74 = 142,414.86 : x
  2. Step 2: Convert to fraction form
    342,160.86/513,328.74 = 142,414.86/x
  3. Step 3: Cross multiply
    342,160.86x = 513,328.74 × 142,414.86
  4. Step 4: Simplify right side
    342,160.86x = 73,105,640,641.08
  5. Step 5: Solve for x
    x = 73,105,640,641.08/342,160.86
  6. Step 6: Final answer
    x = 213,658.69

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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.