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Finding the Fourth Proportional to 511,254.83, 766,887.13 and 137,277.83

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Solution

The fourth proportional to 511,254.83, 766,887.13 and 137,277.83 is: 205,918.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,254.83 : 766,887.13 = 137,277.83 : x
  2. Step 2: Convert to fraction form
    511,254.83/766,887.13 = 137,277.83/x
  3. Step 3: Cross multiply
    511,254.83x = 766,887.13 × 137,277.83
  4. Step 4: Simplify right side
    511,254.83x = 105,276,600,374.94
  5. Step 5: Solve for x
    x = 105,276,600,374.94/511,254.83
  6. Step 6: Final answer
    x = 205,918.06

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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.