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Finding the Fourth Proportional to 489,018.20, 733,464.92 and 189,293.69

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Solution

The fourth proportional to 489,018.20, 733,464.92 and 189,293.69 is: 283,916.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,018.20 : 733,464.92 = 189,293.69 : x
  2. Step 2: Convert to fraction form
    489,018.20/733,464.92 = 189,293.69/x
  3. Step 3: Cross multiply
    489,018.20x = 733,464.92 × 189,293.69
  4. Step 4: Simplify right side
    489,018.20x = 138,840,283,499.25
  5. Step 5: Solve for x
    x = 138,840,283,499.25/489,018.20
  6. Step 6: Final answer
    x = 283,916.40

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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.