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Finding the Fourth Proportional to 608,861.89, 913,274 and 289,243.84

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Solution

The fourth proportional to 608,861.89, 913,274 and 289,243.84 is: 433,856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,861.89 : 913,274 = 289,243.84 : x
  2. Step 2: Convert to fraction form
    608,861.89/913,274 = 289,243.84/x
  3. Step 3: Cross multiply
    608,861.89x = 913,274 × 289,243.84
  4. Step 4: Simplify right side
    608,861.89x = 264,158,878,732.16
  5. Step 5: Solve for x
    x = 264,158,878,732.16/608,861.89
  6. Step 6: Final answer
    x = 433,856.81

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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.