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Finding the Fourth Proportional to 309,641.16, 427,395.54 and 202,227.90

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Solution

The fourth proportional to 309,641.16, 427,395.54 and 202,227.90 is: 279,133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,641.16 : 427,395.54 = 202,227.90 : x
  2. Step 2: Convert to fraction form
    309,641.16/427,395.54 = 202,227.90/x
  3. Step 3: Cross multiply
    309,641.16x = 427,395.54 × 202,227.90
  4. Step 4: Simplify right side
    309,641.16x = 86,431,302,523.57
  5. Step 5: Solve for x
    x = 86,431,302,523.57/309,641.16
  6. Step 6: Final answer
    x = 279,133.76

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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.