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Finding the Fourth Proportional to 390,015.80, 585,218.10 and 221,665.40

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Solution

The fourth proportional to 390,015.80, 585,218.10 and 221,665.40 is: 332,608.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,015.80 : 585,218.10 = 221,665.40 : x
  2. Step 2: Convert to fraction form
    390,015.80/585,218.10 = 221,665.40/x
  3. Step 3: Cross multiply
    390,015.80x = 585,218.10 × 221,665.40
  4. Step 4: Simplify right side
    390,015.80x = 129,722,604,223.74
  5. Step 5: Solve for x
    x = 129,722,604,223.74/390,015.80
  6. Step 6: Final answer
    x = 332,608.59

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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.