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Finding the Fourth Proportional to 511,554.74, 767,023.03 and 203,854.05

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Solution

The fourth proportional to 511,554.74, 767,023.03 and 203,854.05 is: 305,657.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,554.74 : 767,023.03 = 203,854.05 : x
  2. Step 2: Convert to fraction form
    511,554.74/767,023.03 = 203,854.05/x
  3. Step 3: Cross multiply
    511,554.74x = 767,023.03 × 203,854.05
  4. Step 4: Simplify right side
    511,554.74x = 156,360,752,620.49
  5. Step 5: Solve for x
    x = 156,360,752,620.49/511,554.74
  6. Step 6: Final answer
    x = 305,657.91

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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.