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Finding the Fourth Proportional to 289,318.90, 434,043.15 and 111,810.10

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Solution

The fourth proportional to 289,318.90, 434,043.15 and 111,810.10 is: 167,740.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,318.90 : 434,043.15 = 111,810.10 : x
  2. Step 2: Convert to fraction form
    289,318.90/434,043.15 = 111,810.10/x
  3. Step 3: Cross multiply
    289,318.90x = 434,043.15 × 111,810.10
  4. Step 4: Simplify right side
    289,318.90x = 48,530,408,005.82
  5. Step 5: Solve for x
    x = 48,530,408,005.82/289,318.90
  6. Step 6: Final answer
    x = 167,740.19

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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.