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Finding the Fourth Proportional to 511,029.40, 766,659.30 and 156,059.80

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Solution

The fourth proportional to 511,029.40, 766,659.30 and 156,059.80 is: 234,124.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,029.40 : 766,659.30 = 156,059.80 : x
  2. Step 2: Convert to fraction form
    511,029.40/766,659.30 = 156,059.80/x
  3. Step 3: Cross multiply
    511,029.40x = 766,659.30 × 156,059.80
  4. Step 4: Simplify right side
    511,029.40x = 119,644,697,026.14
  5. Step 5: Solve for x
    x = 119,644,697,026.14/511,029.40
  6. Step 6: Final answer
    x = 234,124.88

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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.