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Finding the Fourth Proportional to 389,966.40, 585,034.65 and 221,567.40

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Solution

The fourth proportional to 389,966.40, 585,034.65 and 221,567.40 is: 332,399.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,966.40 : 585,034.65 = 221,567.40 : x
  2. Step 2: Convert to fraction form
    389,966.40/585,034.65 = 221,567.40/x
  3. Step 3: Cross multiply
    389,966.40x = 585,034.65 × 221,567.40
  4. Step 4: Simplify right side
    389,966.40x = 129,624,606,310.41
  5. Step 5: Solve for x
    x = 129,624,606,310.41/389,966.40
  6. Step 6: Final answer
    x = 332,399.42

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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.