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Finding the Fourth Proportional to 408,014.70, 611,424.45 and 365,894.70

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Solution

The fourth proportional to 408,014.70, 611,424.45 and 365,894.70 is: 548,306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,014.70 : 611,424.45 = 365,894.70 : x
  2. Step 2: Convert to fraction form
    408,014.70/611,424.45 = 365,894.70/x
  3. Step 3: Cross multiply
    408,014.70x = 611,424.45 × 365,894.70
  4. Step 4: Simplify right side
    408,014.70x = 223,716,965,705.42
  5. Step 5: Solve for x
    x = 223,716,965,705.42/408,014.70
  6. Step 6: Final answer
    x = 548,306.14

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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.