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Finding the Fourth Proportional to 284,509.44, 426,750.72 and 71,279.36

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Solution

The fourth proportional to 284,509.44, 426,750.72 and 71,279.36 is: 106,915.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,509.44 : 426,750.72 = 71,279.36 : x
  2. Step 2: Convert to fraction form
    284,509.44/426,750.72 = 71,279.36/x
  3. Step 3: Cross multiply
    284,509.44x = 426,750.72 × 71,279.36
  4. Step 4: Simplify right side
    284,509.44x = 30,418,518,201.14
  5. Step 5: Solve for x
    x = 30,418,518,201.14/284,509.44
  6. Step 6: Final answer
    x = 106,915.67

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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.