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Finding the Fourth Proportional to 231,292.80, 346,939.20 and 142,257.60

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Solution

The fourth proportional to 231,292.80, 346,939.20 and 142,257.60 is: 213,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,292.80 : 346,939.20 = 142,257.60 : x
  2. Step 2: Convert to fraction form
    231,292.80/346,939.20 = 142,257.60/x
  3. Step 3: Cross multiply
    231,292.80x = 346,939.20 × 142,257.60
  4. Step 4: Simplify right side
    231,292.80x = 49,354,737,937.92
  5. Step 5: Solve for x
    x = 49,354,737,937.92/231,292.80
  6. Step 6: Final answer
    x = 213,386.40

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1.5x scale

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.