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Finding the Fourth Proportional to 213,608.34, 320,461.11 and 113,715.90

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Solution

The fourth proportional to 213,608.34, 320,461.11 and 113,715.90 is: 170,599.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,608.34 : 320,461.11 = 113,715.90 : x
  2. Step 2: Convert to fraction form
    213,608.34/320,461.11 = 113,715.90/x
  3. Step 3: Cross multiply
    213,608.34x = 320,461.11 × 113,715.90
  4. Step 4: Simplify right side
    213,608.34x = 36,441,523,538.65
  5. Step 5: Solve for x
    x = 36,441,523,538.65/213,608.34
  6. Step 6: Final answer
    x = 170,599.72

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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.