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Finding the Fourth Proportional to 422,980.88, 583,853.21 and 378,140.55

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Solution

The fourth proportional to 422,980.88, 583,853.21 and 378,140.55 is: 521,958.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,980.88 : 583,853.21 = 378,140.55 : x
  2. Step 2: Convert to fraction form
    422,980.88/583,853.21 = 378,140.55/x
  3. Step 3: Cross multiply
    422,980.88x = 583,853.21 × 378,140.55
  4. Step 4: Simplify right side
    422,980.88x = 220,778,572,057.96
  5. Step 5: Solve for x
    x = 220,778,572,057.96/422,980.88
  6. Step 6: Final answer
    x = 521,958.76

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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.