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Finding the Fourth Proportional to 390,311.58, 585,506.34 and 106,006.62

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Solution

The fourth proportional to 390,311.58, 585,506.34 and 106,006.62 is: 159,020.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,311.58 : 585,506.34 = 106,006.62 : x
  2. Step 2: Convert to fraction form
    390,311.58/585,506.34 = 106,006.62/x
  3. Step 3: Cross multiply
    390,311.58x = 585,506.34 × 106,006.62
  4. Step 4: Simplify right side
    390,311.58x = 62,067,548,091.97
  5. Step 5: Solve for x
    x = 62,067,548,091.97/390,311.58
  6. Step 6: Final answer
    x = 159,020.51

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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.