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Finding the Fourth Proportional to 784,254, 1,176,381 and 193,278

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Solution

The fourth proportional to 784,254, 1,176,381 and 193,278 is: 289,917

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,254 : 1,176,381 = 193,278 : x
  2. Step 2: Convert to fraction form
    784,254/1,176,381 = 193,278/x
  3. Step 3: Cross multiply
    784,254x = 1,176,381 × 193,278
  4. Step 4: Simplify right side
    784,254x = 227,368,566,918
  5. Step 5: Solve for x
    x = 227,368,566,918/784,254
  6. Step 6: Final answer
    x = 289,917

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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.