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Finding the Fourth Proportional to 511,950.66, 767,874.15 and 138,011.46

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Solution

The fourth proportional to 511,950.66, 767,874.15 and 138,011.46 is: 207,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,950.66 : 767,874.15 = 138,011.46 : x
  2. Step 2: Convert to fraction form
    511,950.66/767,874.15 = 138,011.46/x
  3. Step 3: Cross multiply
    511,950.66x = 767,874.15 × 138,011.46
  4. Step 4: Simplify right side
    511,950.66x = 105,975,432,537.76
  5. Step 5: Solve for x
    x = 105,975,432,537.76/511,950.66
  6. Step 6: Final answer
    x = 207,003.21

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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.