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Finding the Fourth Proportional to 785,400, 1,178,100 and 194,424

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Solution

The fourth proportional to 785,400, 1,178,100 and 194,424 is: 291,636

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,400 : 1,178,100 = 194,424 : x
  2. Step 2: Convert to fraction form
    785,400/1,178,100 = 194,424/x
  3. Step 3: Cross multiply
    785,400x = 1,178,100 × 194,424
  4. Step 4: Simplify right side
    785,400x = 229,050,914,400
  5. Step 5: Solve for x
    x = 229,050,914,400/785,400
  6. Step 6: Final answer
    x = 291,636

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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.