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Finding the Fourth Proportional to 422,802.46, 583,462.95 and 231,815.38

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Solution

The fourth proportional to 422,802.46, 583,462.95 and 231,815.38 is: 319,902.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,802.46 : 583,462.95 = 231,815.38 : x
  2. Step 2: Convert to fraction form
    422,802.46/583,462.95 = 231,815.38/x
  3. Step 3: Cross multiply
    422,802.46x = 583,462.95 × 231,815.38
  4. Step 4: Simplify right side
    422,802.46x = 135,255,685,470.17
  5. Step 5: Solve for x
    x = 135,255,685,470.17/422,802.46
  6. Step 6: Final answer
    x = 319,902.79

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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.