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Finding the Fourth Proportional to 531,137.52, 796,941.63 and 278,357.85

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Solution

The fourth proportional to 531,137.52, 796,941.63 and 278,357.85 is: 417,660.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,137.52 : 796,941.63 = 278,357.85 : x
  2. Step 2: Convert to fraction form
    531,137.52/796,941.63 = 278,357.85/x
  3. Step 3: Cross multiply
    531,137.52x = 796,941.63 × 278,357.85
  4. Step 4: Simplify right side
    531,137.52x = 221,834,958,702.30
  5. Step 5: Solve for x
    x = 221,834,958,702.30/531,137.52
  6. Step 6: Final answer
    x = 417,660.12

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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.