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Finding the Fourth Proportional to 422,820, 583,543.44 and 243,972

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Solution

The fourth proportional to 422,820, 583,543.44 and 243,972 is: 336,711.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,820 : 583,543.44 = 243,972 : x
  2. Step 2: Convert to fraction form
    422,820/583,543.44 = 243,972/x
  3. Step 3: Cross multiply
    422,820x = 583,543.44 × 243,972
  4. Step 4: Simplify right side
    422,820x = 142,368,260,143.68
  5. Step 5: Solve for x
    x = 142,368,260,143.68/422,820
  6. Step 6: Final answer
    x = 336,711.27

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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.