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Finding the Fourth Proportional to 511,537.79, 767,309.25 and 132,431.93

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Solution

The fourth proportional to 511,537.79, 767,309.25 and 132,431.93 is: 198,648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,537.79 : 767,309.25 = 132,431.93 : x
  2. Step 2: Convert to fraction form
    511,537.79/767,309.25 = 132,431.93/x
  3. Step 3: Cross multiply
    511,537.79x = 767,309.25 × 132,431.93
  4. Step 4: Simplify right side
    511,537.79x = 101,616,248,737.95
  5. Step 5: Solve for x
    x = 101,616,248,737.95/511,537.79
  6. Step 6: Final answer
    x = 198,648.57

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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.