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Finding the Fourth Proportional to 289,641.22, 434,462.17 and 121,069.31

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Solution

The fourth proportional to 289,641.22, 434,462.17 and 121,069.31 is: 181,604.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,641.22 : 434,462.17 = 121,069.31 : x
  2. Step 2: Convert to fraction form
    289,641.22/434,462.17 = 121,069.31/x
  3. Step 3: Cross multiply
    289,641.22x = 434,462.17 × 121,069.31
  4. Step 4: Simplify right side
    289,641.22x = 52,600,035,143.00
  5. Step 5: Solve for x
    x = 52,600,035,143.00/289,641.22
  6. Step 6: Final answer
    x = 181,604.11

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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.