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Finding the Fourth Proportional to 511,321.60, 766,982.40 and 325,158.40

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Solution

The fourth proportional to 511,321.60, 766,982.40 and 325,158.40 is: 487,737.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,321.60 : 766,982.40 = 325,158.40 : x
  2. Step 2: Convert to fraction form
    511,321.60/766,982.40 = 325,158.40/x
  3. Step 3: Cross multiply
    511,321.60x = 766,982.40 × 325,158.40
  4. Step 4: Simplify right side
    511,321.60x = 249,390,770,012.16
  5. Step 5: Solve for x
    x = 249,390,770,012.16/511,321.60
  6. Step 6: Final answer
    x = 487,737.60

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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.