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Finding the Fourth Proportional to 389,969.40, 585,039.15 and 221,570.40

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Solution

The fourth proportional to 389,969.40, 585,039.15 and 221,570.40 is: 332,403.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,969.40 : 585,039.15 = 221,570.40 : x
  2. Step 2: Convert to fraction form
    389,969.40/585,039.15 = 221,570.40/x
  3. Step 3: Cross multiply
    389,969.40x = 585,039.15 × 221,570.40
  4. Step 4: Simplify right side
    389,969.40x = 129,627,358,481.16
  5. Step 5: Solve for x
    x = 129,627,358,481.16/389,969.40
  6. Step 6: Final answer
    x = 332,403.92

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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.