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Finding the Fourth Proportional to 511,265.58, 766,903.23 and 137,288.58

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Solution

The fourth proportional to 511,265.58, 766,903.23 and 137,288.58 is: 205,934.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,265.58 : 766,903.23 = 137,288.58 : x
  2. Step 2: Convert to fraction form
    511,265.58/766,903.23 = 137,288.58/x
  3. Step 3: Cross multiply
    511,265.58x = 766,903.23 × 137,288.58
  4. Step 4: Simplify right side
    511,265.58x = 105,287,055,444.11
  5. Step 5: Solve for x
    x = 105,287,055,444.11/511,265.58
  6. Step 6: Final answer
    x = 205,934.18

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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.