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Finding the Fourth Proportional to 517,876.04, 776,757.54 and 138,833.96

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Solution

The fourth proportional to 517,876.04, 776,757.54 and 138,833.96 is: 208,235.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,876.04 : 776,757.54 = 138,833.96 : x
  2. Step 2: Convert to fraction form
    517,876.04/776,757.54 = 138,833.96/x
  3. Step 3: Cross multiply
    517,876.04x = 776,757.54 × 138,833.96
  4. Step 4: Simplify right side
    517,876.04x = 107,840,325,238.06
  5. Step 5: Solve for x
    x = 107,840,325,238.06/517,876.04
  6. Step 6: Final answer
    x = 208,235.79

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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.