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Finding the Fourth Proportional to 390,418.97, 585,697.91 and 137,846.10

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Solution

The fourth proportional to 390,418.97, 585,697.91 and 137,846.10 is: 206,793.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,418.97 : 585,697.91 = 137,846.10 : x
  2. Step 2: Convert to fraction form
    390,418.97/585,697.91 = 137,846.10/x
  3. Step 3: Cross multiply
    390,418.97x = 585,697.91 × 137,846.10
  4. Step 4: Simplify right side
    390,418.97x = 80,736,170,763.18
  5. Step 5: Solve for x
    x = 80,736,170,763.18/390,418.97
  6. Step 6: Final answer
    x = 206,793.67

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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.