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Finding the Fourth Proportional to 784,242, 1,176,363 and 193,266

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Solution

The fourth proportional to 784,242, 1,176,363 and 193,266 is: 289,899

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,242 : 1,176,363 = 193,266 : x
  2. Step 2: Convert to fraction form
    784,242/1,176,363 = 193,266/x
  3. Step 3: Cross multiply
    784,242x = 1,176,363 × 193,266
  4. Step 4: Simplify right side
    784,242x = 227,350,971,558
  5. Step 5: Solve for x
    x = 227,350,971,558/784,242
  6. Step 6: Final answer
    x = 289,899

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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.