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Finding the Fourth Proportional to 422,718.63, 583,338.15 and 231,727.92

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Solution

The fourth proportional to 422,718.63, 583,338.15 and 231,727.92 is: 319,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,718.63 : 583,338.15 = 231,727.92 : x
  2. Step 2: Convert to fraction form
    422,718.63/583,338.15 = 231,727.92/x
  3. Step 3: Cross multiply
    422,718.63x = 583,338.15 × 231,727.92
  4. Step 4: Simplify right side
    422,718.63x = 135,175,736,156.15
  5. Step 5: Solve for x
    x = 135,175,736,156.15/422,718.63
  6. Step 6: Final answer
    x = 319,777.10

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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.