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Finding the Fourth Proportional to 354,714.78, 531,610.11 and 144,106.50

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Solution

The fourth proportional to 354,714.78, 531,610.11 and 144,106.50 is: 215,972.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,714.78 : 531,610.11 = 144,106.50 : x
  2. Step 2: Convert to fraction form
    354,714.78/531,610.11 = 144,106.50/x
  3. Step 3: Cross multiply
    354,714.78x = 531,610.11 × 144,106.50
  4. Step 4: Simplify right side
    354,714.78x = 76,608,472,316.72
  5. Step 5: Solve for x
    x = 76,608,472,316.72/354,714.78
  6. Step 6: Final answer
    x = 215,972.03

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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.