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Finding the Fourth Proportional to 408,358.80, 611,371.80 and 366,368.40

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Solution

The fourth proportional to 408,358.80, 611,371.80 and 366,368.40 is: 548,506.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,358.80 : 611,371.80 = 366,368.40 : x
  2. Step 2: Convert to fraction form
    408,358.80/611,371.80 = 366,368.40/x
  3. Step 3: Cross multiply
    408,358.80x = 611,371.80 × 366,368.40
  4. Step 4: Simplify right side
    408,358.80x = 223,987,308,171.12
  5. Step 5: Solve for x
    x = 223,987,308,171.12/408,358.80
  6. Step 6: Final answer
    x = 548,506.14

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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.