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Finding the Fourth Proportional to 511,252.08, 766,883 and 137,275.08

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Solution

The fourth proportional to 511,252.08, 766,883 and 137,275.08 is: 205,913.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,252.08 : 766,883 = 137,275.08 : x
  2. Step 2: Convert to fraction form
    511,252.08/766,883 = 137,275.08/x
  3. Step 3: Cross multiply
    511,252.08x = 766,883 × 137,275.08
  4. Step 4: Simplify right side
    511,252.08x = 105,273,925,175.64
  5. Step 5: Solve for x
    x = 105,273,925,175.64/511,252.08
  6. Step 6: Final answer
    x = 205,913.93

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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.