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Finding the Fourth Proportional to 390,174.80, 585,456.60 and 221,824.40

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Solution

The fourth proportional to 390,174.80, 585,456.60 and 221,824.40 is: 332,847.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,174.80 : 585,456.60 = 221,824.40 : x
  2. Step 2: Convert to fraction form
    390,174.80/585,456.60 = 221,824.40/x
  3. Step 3: Cross multiply
    390,174.80x = 585,456.60 × 221,824.40
  4. Step 4: Simplify right side
    390,174.80x = 129,868,559,021.04
  5. Step 5: Solve for x
    x = 129,868,559,021.04/390,174.80
  6. Step 6: Final answer
    x = 332,847.12

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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.