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Finding the Fourth Proportional to 339,482.88, 509,215.68 and 162,115.20

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Solution

The fourth proportional to 339,482.88, 509,215.68 and 162,115.20 is: 243,168.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,482.88 : 509,215.68 = 162,115.20 : x
  2. Step 2: Convert to fraction form
    339,482.88/509,215.68 = 162,115.20/x
  3. Step 3: Cross multiply
    339,482.88x = 509,215.68 × 162,115.20
  4. Step 4: Simplify right side
    339,482.88x = 82,551,601,806.34
  5. Step 5: Solve for x
    x = 82,551,601,806.34/339,482.88
  6. Step 6: Final answer
    x = 243,168.67

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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.