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Finding the Fourth Proportional to 408,834.40, 612,085.20 and 362,178.40

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Solution

The fourth proportional to 408,834.40, 612,085.20 and 362,178.40 is: 542,234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,834.40 : 612,085.20 = 362,178.40 : x
  2. Step 2: Convert to fraction form
    408,834.40/612,085.20 = 362,178.40/x
  3. Step 3: Cross multiply
    408,834.40x = 612,085.20 × 362,178.40
  4. Step 4: Simplify right side
    408,834.40x = 221,684,038,399.68
  5. Step 5: Solve for x
    x = 221,684,038,399.68/408,834.40
  6. Step 6: Final answer
    x = 542,234.31

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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.