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Finding the Fourth Proportional to 284,624.47, 426,438.25 and 253,734.31

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Solution

The fourth proportional to 284,624.47, 426,438.25 and 253,734.31 is: 380,157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,624.47 : 426,438.25 = 253,734.31 : x
  2. Step 2: Convert to fraction form
    284,624.47/426,438.25 = 253,734.31/x
  3. Step 3: Cross multiply
    284,624.47x = 426,438.25 × 253,734.31
  4. Step 4: Simplify right side
    284,624.47x = 108,202,015,121.36
  5. Step 5: Solve for x
    x = 108,202,015,121.36/284,624.47
  6. Step 6: Final answer
    x = 380,157.11

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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.