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Finding the Fourth Proportional to 511,965.24, 767,860.34 and 137,900.76

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Solution

The fourth proportional to 511,965.24, 767,860.34 and 137,900.76 is: 206,827.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,965.24 : 767,860.34 = 137,900.76 : x
  2. Step 2: Convert to fraction form
    511,965.24/767,860.34 = 137,900.76/x
  3. Step 3: Cross multiply
    511,965.24x = 767,860.34 × 137,900.76
  4. Step 4: Simplify right side
    511,965.24x = 105,888,524,459.86
  5. Step 5: Solve for x
    x = 105,888,524,459.86/511,965.24
  6. Step 6: Final answer
    x = 206,827.57

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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.