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Finding the Fourth Proportional to 390,611.09, 585,912.46 and 296,419.89

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Solution

The fourth proportional to 390,611.09, 585,912.46 and 296,419.89 is: 444,626.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,611.09 : 585,912.46 = 296,419.89 : x
  2. Step 2: Convert to fraction form
    390,611.09/585,912.46 = 296,419.89/x
  3. Step 3: Cross multiply
    390,611.09x = 585,912.46 × 296,419.89
  4. Step 4: Simplify right side
    390,611.09x = 173,676,106,201.78
  5. Step 5: Solve for x
    x = 173,676,106,201.78/390,611.09
  6. Step 6: Final answer
    x = 444,626.66

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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.