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Finding the Fourth Proportional to 420,748.80, 631,123.20 and 254,860.80

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Solution

The fourth proportional to 420,748.80, 631,123.20 and 254,860.80 is: 382,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,748.80 : 631,123.20 = 254,860.80 : x
  2. Step 2: Convert to fraction form
    420,748.80/631,123.20 = 254,860.80/x
  3. Step 3: Cross multiply
    420,748.80x = 631,123.20 × 254,860.80
  4. Step 4: Simplify right side
    420,748.80x = 160,848,563,650.56
  5. Step 5: Solve for x
    x = 160,848,563,650.56/420,748.80
  6. Step 6: Final answer
    x = 382,291.20

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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.