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Finding the Fourth Proportional to 407,815.20, 611,722.80 and 302,839.20

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Solution

The fourth proportional to 407,815.20, 611,722.80 and 302,839.20 is: 454,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,815.20 : 611,722.80 = 302,839.20 : x
  2. Step 2: Convert to fraction form
    407,815.20/611,722.80 = 302,839.20/x
  3. Step 3: Cross multiply
    407,815.20x = 611,722.80 × 302,839.20
  4. Step 4: Simplify right side
    407,815.20x = 185,253,643,373.76
  5. Step 5: Solve for x
    x = 185,253,643,373.76/407,815.20
  6. Step 6: Final answer
    x = 454,258.80

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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.