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Finding the Fourth Proportional to 408,436.20, 611,444.70 and 303,719.40

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Solution

The fourth proportional to 408,436.20, 611,444.70 and 303,719.40 is: 454,679.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,436.20 : 611,444.70 = 303,719.40 : x
  2. Step 2: Convert to fraction form
    408,436.20/611,444.70 = 303,719.40/x
  3. Step 3: Cross multiply
    408,436.20x = 611,444.70 × 303,719.40
  4. Step 4: Simplify right side
    408,436.20x = 185,707,617,417.18
  5. Step 5: Solve for x
    x = 185,707,617,417.18/408,436.20
  6. Step 6: Final answer
    x = 454,679.62

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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.