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Finding the Fourth Proportional to 390,179.87, 585,316.67 and 137,408.11

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Solution

The fourth proportional to 390,179.87, 585,316.67 and 137,408.11 is: 206,128.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,179.87 : 585,316.67 = 137,408.11 : x
  2. Step 2: Convert to fraction form
    390,179.87/585,316.67 = 137,408.11/x
  3. Step 3: Cross multiply
    390,179.87x = 585,316.67 × 137,408.11
  4. Step 4: Simplify right side
    390,179.87x = 80,427,257,376.19
  5. Step 5: Solve for x
    x = 80,427,257,376.19/390,179.87
  6. Step 6: Final answer
    x = 206,128.67

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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.