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Finding the Fourth Proportional to 433,900, 650,861.52 and 138,412

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Solution

The fourth proportional to 433,900, 650,861.52 and 138,412 is: 207,621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,900 : 650,861.52 = 138,412 : x
  2. Step 2: Convert to fraction form
    433,900/650,861.52 = 138,412/x
  3. Step 3: Cross multiply
    433,900x = 650,861.52 × 138,412
  4. Step 4: Simplify right side
    433,900x = 90,087,044,706.24
  5. Step 5: Solve for x
    x = 90,087,044,706.24/433,900
  6. Step 6: Final answer
    x = 207,621.67

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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.