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Finding the Fourth Proportional to 408,889.10, 613,333.65 and 343,570.70

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Solution

The fourth proportional to 408,889.10, 613,333.65 and 343,570.70 is: 515,356.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,889.10 : 613,333.65 = 343,570.70 : x
  2. Step 2: Convert to fraction form
    408,889.10/613,333.65 = 343,570.70/x
  3. Step 3: Cross multiply
    408,889.10x = 613,333.65 × 343,570.70
  4. Step 4: Simplify right side
    408,889.10x = 210,723,471,464.06
  5. Step 5: Solve for x
    x = 210,723,471,464.06/408,889.10
  6. Step 6: Final answer
    x = 515,356.05

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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.