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Finding the Fourth Proportional to 511,526.34, 767,288.43 and 137,549.70

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Solution

The fourth proportional to 511,526.34, 767,288.43 and 137,549.70 is: 206,324.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,526.34 : 767,288.43 = 137,549.70 : x
  2. Step 2: Convert to fraction form
    511,526.34/767,288.43 = 137,549.70/x
  3. Step 3: Cross multiply
    511,526.34x = 767,288.43 × 137,549.70
  4. Step 4: Simplify right side
    511,526.34x = 105,540,293,359.97
  5. Step 5: Solve for x
    x = 105,540,293,359.97/511,526.34
  6. Step 6: Final answer
    x = 206,324.26

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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.