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Finding the Fourth Proportional to 390,610.85, 585,912.02 and 296,419.50

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Solution

The fourth proportional to 390,610.85, 585,912.02 and 296,419.50 is: 444,626.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,610.85 : 585,912.02 = 296,419.50 : x
  2. Step 2: Convert to fraction form
    390,610.85/585,912.02 = 296,419.50/x
  3. Step 3: Cross multiply
    390,610.85x = 585,912.02 × 296,419.50
  4. Step 4: Simplify right side
    390,610.85x = 173,675,745,082.83
  5. Step 5: Solve for x
    x = 173,675,745,082.83/390,610.85
  6. Step 6: Final answer
    x = 444,626.01

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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.