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Finding the Fourth Proportional to 489,003.26, 733,442.58 and 189,278.78

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Solution

The fourth proportional to 489,003.26, 733,442.58 and 189,278.78 is: 283,894.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,003.26 : 733,442.58 = 189,278.78 : x
  2. Step 2: Convert to fraction form
    489,003.26/733,442.58 = 189,278.78/x
  3. Step 3: Cross multiply
    489,003.26x = 733,442.58 × 189,278.78
  4. Step 4: Simplify right side
    489,003.26x = 138,825,113,075.24
  5. Step 5: Solve for x
    x = 138,825,113,075.24/489,003.26
  6. Step 6: Final answer
    x = 283,894.05

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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.