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Finding the Fourth Proportional to 422,980.13, 583,852.16 and 378,139.80

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Solution

The fourth proportional to 422,980.13, 583,852.16 and 378,139.80 is: 521,957.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,980.13 : 583,852.16 = 378,139.80 : x
  2. Step 2: Convert to fraction form
    422,980.13/583,852.16 = 378,139.80/x
  3. Step 3: Cross multiply
    422,980.13x = 583,852.16 × 378,139.80
  4. Step 4: Simplify right side
    422,980.13x = 220,777,739,957.32
  5. Step 5: Solve for x
    x = 220,777,739,957.32/422,980.13
  6. Step 6: Final answer
    x = 521,957.71

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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.