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Finding the Fourth Proportional to 422,981.82, 583,816.68 and 287,242.02

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Solution

The fourth proportional to 422,981.82, 583,816.68 and 287,242.02 is: 396,463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,981.82 : 583,816.68 = 287,242.02 : x
  2. Step 2: Convert to fraction form
    422,981.82/583,816.68 = 287,242.02/x
  3. Step 3: Cross multiply
    422,981.82x = 583,816.68 × 287,242.02
  4. Step 4: Simplify right side
    422,981.82x = 167,696,682,472.89
  5. Step 5: Solve for x
    x = 167,696,682,472.89/422,981.82
  6. Step 6: Final answer
    x = 396,463.10

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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.