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Finding the Fourth Proportional to 511,493.40, 767,211.84 and 156,507.48

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Solution

The fourth proportional to 511,493.40, 767,211.84 and 156,507.48 is: 234,752.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,493.40 : 767,211.84 = 156,507.48 : x
  2. Step 2: Convert to fraction form
    511,493.40/767,211.84 = 156,507.48/x
  3. Step 3: Cross multiply
    511,493.40x = 767,211.84 × 156,507.48
  4. Step 4: Simplify right side
    511,493.40x = 120,074,391,704.56
  5. Step 5: Solve for x
    x = 120,074,391,704.56/511,493.40
  6. Step 6: Final answer
    x = 234,752.57

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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.