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Finding the Fourth Proportional to 408,883.36, 564,162.64 and 343,719.98

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Solution

The fourth proportional to 408,883.36, 564,162.64 and 343,719.98 is: 474,252.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,883.36 : 564,162.64 = 343,719.98 : x
  2. Step 2: Convert to fraction form
    408,883.36/564,162.64 = 343,719.98/x
  3. Step 3: Cross multiply
    408,883.36x = 564,162.64 × 343,719.98
  4. Step 4: Simplify right side
    408,883.36x = 193,913,969,618.95
  5. Step 5: Solve for x
    x = 193,913,969,618.95/408,883.36
  6. Step 6: Final answer
    x = 474,252.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.