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Finding the Fourth Proportional to 256,573.87, 353,841.15 and 165,834.43

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Solution

The fourth proportional to 256,573.87, 353,841.15 and 165,834.43 is: 228,702.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,573.87 : 353,841.15 = 165,834.43 : x
  2. Step 2: Convert to fraction form
    256,573.87/353,841.15 = 165,834.43/x
  3. Step 3: Cross multiply
    256,573.87x = 353,841.15 × 165,834.43
  4. Step 4: Simplify right side
    256,573.87x = 58,679,045,420.79
  5. Step 5: Solve for x
    x = 58,679,045,420.79/256,573.87
  6. Step 6: Final answer
    x = 228,702.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.