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Finding the Fourth Proportional to 390,010.80, 584,724.60 and 165,187.20

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Solution

The fourth proportional to 390,010.80, 584,724.60 and 165,187.20 is: 247,657.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,010.80 : 584,724.60 = 165,187.20 : x
  2. Step 2: Convert to fraction form
    390,010.80/584,724.60 = 165,187.20/x
  3. Step 3: Cross multiply
    390,010.80x = 584,724.60 × 165,187.20
  4. Step 4: Simplify right side
    390,010.80x = 96,589,019,445.12
  5. Step 5: Solve for x
    x = 96,589,019,445.12/390,010.80
  6. Step 6: Final answer
    x = 247,657.29

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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.