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Finding the Fourth Proportional to 420,892.88, 631,641.36 and 285,619.76

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Solution

The fourth proportional to 420,892.88, 631,641.36 and 285,619.76 is: 428,634.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,892.88 : 631,641.36 = 285,619.76 : x
  2. Step 2: Convert to fraction form
    420,892.88/631,641.36 = 285,619.76/x
  3. Step 3: Cross multiply
    420,892.88x = 631,641.36 × 285,619.76
  4. Step 4: Simplify right side
    420,892.88x = 180,409,253,649.27
  5. Step 5: Solve for x
    x = 180,409,253,649.27/420,892.88
  6. Step 6: Final answer
    x = 428,634.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.