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Finding the Fourth Proportional to 785,684, 1,178,526 and 194,708

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Solution

The fourth proportional to 785,684, 1,178,526 and 194,708 is: 292,062

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,684 : 1,178,526 = 194,708 : x
  2. Step 2: Convert to fraction form
    785,684/1,178,526 = 194,708/x
  3. Step 3: Cross multiply
    785,684x = 1,178,526 × 194,708
  4. Step 4: Simplify right side
    785,684x = 229,468,440,408
  5. Step 5: Solve for x
    x = 229,468,440,408/785,684
  6. Step 6: Final answer
    x = 292,062

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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.