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Finding the Fourth Proportional to 422,980.38, 583,852.51 and 378,140.05

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Solution

The fourth proportional to 422,980.38, 583,852.51 and 378,140.05 is: 521,958.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,980.38 : 583,852.51 = 378,140.05 : x
  2. Step 2: Convert to fraction form
    422,980.38/583,852.51 = 378,140.05/x
  3. Step 3: Cross multiply
    422,980.38x = 583,852.51 × 378,140.05
  4. Step 4: Simplify right side
    422,980.38x = 220,778,017,324.03
  5. Step 5: Solve for x
    x = 220,778,017,324.03/422,980.38
  6. Step 6: Final answer
    x = 521,958.06

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1.5x scale

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.