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Finding the Fourth Proportional to 420,143.32, 627,536 and 380,100.56

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Solution

The fourth proportional to 420,143.32, 627,536 and 380,100.56 is: 567,727.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,143.32 : 627,536 = 380,100.56 : x
  2. Step 2: Convert to fraction form
    420,143.32/627,536 = 380,100.56/x
  3. Step 3: Cross multiply
    420,143.32x = 627,536 × 380,100.56
  4. Step 4: Simplify right side
    420,143.32x = 238,526,786,589
  5. Step 5: Solve for x
    x = 238,526,786,589/420,143.32
  6. Step 6: Final answer
    x = 567,727.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.