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Finding the Fourth Proportional to 420,231.52, 582,372.85 and 412,256.80

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Solution

The fourth proportional to 420,231.52, 582,372.85 and 412,256.80 is: 571,321.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,231.52 : 582,372.85 = 412,256.80 : x
  2. Step 2: Convert to fraction form
    420,231.52/582,372.85 = 412,256.80/x
  3. Step 3: Cross multiply
    420,231.52x = 582,372.85 × 412,256.80
  4. Step 4: Simplify right side
    420,231.52x = 240,087,167,547.88
  5. Step 5: Solve for x
    x = 240,087,167,547.88/420,231.52
  6. Step 6: Final answer
    x = 571,321.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.