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Finding the Fourth Proportional to 511,242.60, 766,016.28 and 310,957.08

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Solution

The fourth proportional to 511,242.60, 766,016.28 and 310,957.08 is: 465,920.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,242.60 : 766,016.28 = 310,957.08 : x
  2. Step 2: Convert to fraction form
    511,242.60/766,016.28 = 310,957.08/x
  3. Step 3: Cross multiply
    511,242.60x = 766,016.28 × 310,957.08
  4. Step 4: Simplify right side
    511,242.60x = 238,198,185,661.26
  5. Step 5: Solve for x
    x = 238,198,185,661.26/511,242.60
  6. Step 6: Final answer
    x = 465,920.07

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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.