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Finding the Fourth Proportional to 531,115.72, 796,909.09 and 278,336.12

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Solution

The fourth proportional to 531,115.72, 796,909.09 and 278,336.12 is: 417,627.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,115.72 : 796,909.09 = 278,336.12 : x
  2. Step 2: Convert to fraction form
    531,115.72/796,909.09 = 278,336.12/x
  3. Step 3: Cross multiply
    531,115.72x = 796,909.09 × 278,336.12
  4. Step 4: Simplify right side
    531,115.72x = 221,808,579,422.95
  5. Step 5: Solve for x
    x = 221,808,579,422.95/531,115.72
  6. Step 6: Final answer
    x = 417,627.59

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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.