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Finding the Fourth Proportional to 289,360.34, 434,040.56 and 120,788.72

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Solution

The fourth proportional to 289,360.34, 434,040.56 and 120,788.72 is: 181,183.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,360.34 : 434,040.56 = 120,788.72 : x
  2. Step 2: Convert to fraction form
    289,360.34/434,040.56 = 120,788.72/x
  3. Step 3: Cross multiply
    289,360.34x = 434,040.56 × 120,788.72
  4. Step 4: Simplify right side
    289,360.34x = 52,427,203,670.48
  5. Step 5: Solve for x
    x = 52,427,203,670.48/289,360.34
  6. Step 6: Final answer
    x = 181,183.10

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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.