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Finding the Fourth Proportional to 289,458.89, 434,230.40 and 89,795.19

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Solution

The fourth proportional to 289,458.89, 434,230.40 and 89,795.19 is: 134,705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,458.89 : 434,230.40 = 89,795.19 : x
  2. Step 2: Convert to fraction form
    289,458.89/434,230.40 = 89,795.19/x
  3. Step 3: Cross multiply
    289,458.89x = 434,230.40 × 89,795.19
  4. Step 4: Simplify right side
    289,458.89x = 38,991,801,271.78
  5. Step 5: Solve for x
    x = 38,991,801,271.78/289,458.89
  6. Step 6: Final answer
    x = 134,705.83

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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.