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Finding the Fourth Proportional to 408,622.20, 612,933.30 and 314,034.45

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Solution

The fourth proportional to 408,622.20, 612,933.30 and 314,034.45 is: 471,051.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,622.20 : 612,933.30 = 314,034.45 : x
  2. Step 2: Convert to fraction form
    408,622.20/612,933.30 = 314,034.45/x
  3. Step 3: Cross multiply
    408,622.20x = 612,933.30 × 314,034.45
  4. Step 4: Simplify right side
    408,622.20x = 192,482,171,752.19
  5. Step 5: Solve for x
    x = 192,482,171,752.19/408,622.20
  6. Step 6: Final answer
    x = 471,051.68

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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.