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Finding the Fourth Proportional to 531,153.64, 796,965.86 and 278,374

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Solution

The fourth proportional to 531,153.64, 796,965.86 and 278,374 is: 417,684.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,153.64 : 796,965.86 = 278,374 : x
  2. Step 2: Convert to fraction form
    531,153.64/796,965.86 = 278,374/x
  3. Step 3: Cross multiply
    531,153.64x = 796,965.86 × 278,374
  4. Step 4: Simplify right side
    531,153.64x = 221,854,574,311.64
  5. Step 5: Solve for x
    x = 221,854,574,311.64/531,153.64
  6. Step 6: Final answer
    x = 417,684.37

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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.