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Finding the Fourth Proportional to 231,894.40, 347,841.60 and 142,859.20

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Solution

The fourth proportional to 231,894.40, 347,841.60 and 142,859.20 is: 214,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,894.40 : 347,841.60 = 142,859.20 : x
  2. Step 2: Convert to fraction form
    231,894.40/347,841.60 = 142,859.20/x
  3. Step 3: Cross multiply
    231,894.40x = 347,841.60 × 142,859.20
  4. Step 4: Simplify right side
    231,894.40x = 49,692,372,702.72
  5. Step 5: Solve for x
    x = 49,692,372,702.72/231,894.40
  6. Step 6: Final answer
    x = 214,288.80

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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.