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Finding the Fourth Proportional to 315,395.25, 435,245.85 and 202,218

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Solution

The fourth proportional to 315,395.25, 435,245.85 and 202,218 is: 279,061.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,395.25 : 435,245.85 = 202,218 : x
  2. Step 2: Convert to fraction form
    315,395.25/435,245.85 = 202,218/x
  3. Step 3: Cross multiply
    315,395.25x = 435,245.85 × 202,218
  4. Step 4: Simplify right side
    315,395.25x = 88,014,545,295.30
  5. Step 5: Solve for x
    x = 88,014,545,295.30/315,395.25
  6. Step 6: Final answer
    x = 279,061.10

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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.