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Finding the Fourth Proportional to 543,335.40, 814,999.05 and 164,255.40

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Solution

The fourth proportional to 543,335.40, 814,999.05 and 164,255.40 is: 246,381.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,335.40 : 814,999.05 = 164,255.40 : x
  2. Step 2: Convert to fraction form
    543,335.40/814,999.05 = 164,255.40/x
  3. Step 3: Cross multiply
    543,335.40x = 814,999.05 × 164,255.40
  4. Step 4: Simplify right side
    543,335.40x = 133,867,994,957.37
  5. Step 5: Solve for x
    x = 133,867,994,957.37/543,335.40
  6. Step 6: Final answer
    x = 246,381.88

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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.