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Finding the Fourth Proportional to 289,410.34, 434,263.55 and 137,778.75

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Solution

The fourth proportional to 289,410.34, 434,263.55 and 137,778.75 is: 206,738.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,410.34 : 434,263.55 = 137,778.75 : x
  2. Step 2: Convert to fraction form
    289,410.34/434,263.55 = 137,778.75/x
  3. Step 3: Cross multiply
    289,410.34x = 434,263.55 × 137,778.75
  4. Step 4: Simplify right side
    289,410.34x = 59,832,289,089.56
  5. Step 5: Solve for x
    x = 59,832,289,089.56/289,410.34
  6. Step 6: Final answer
    x = 206,738.60

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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.