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Finding the Fourth Proportional to 289,053.20, 433,579.80 and 262,809.20

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Solution

The fourth proportional to 289,053.20, 433,579.80 and 262,809.20 is: 394,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,053.20 : 433,579.80 = 262,809.20 : x
  2. Step 2: Convert to fraction form
    289,053.20/433,579.80 = 262,809.20/x
  3. Step 3: Cross multiply
    289,053.20x = 433,579.80 × 262,809.20
  4. Step 4: Simplify right side
    289,053.20x = 113,948,760,374.16
  5. Step 5: Solve for x
    x = 113,948,760,374.16/289,053.20
  6. Step 6: Final answer
    x = 394,213.80

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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.