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Finding the Fourth Proportional to 909,794, 1,364,691 and 318,818

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Solution

The fourth proportional to 909,794, 1,364,691 and 318,818 is: 478,227

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,794 : 1,364,691 = 318,818 : x
  2. Step 2: Convert to fraction form
    909,794/1,364,691 = 318,818/x
  3. Step 3: Cross multiply
    909,794x = 1,364,691 × 318,818
  4. Step 4: Simplify right side
    909,794x = 435,088,055,238
  5. Step 5: Solve for x
    x = 435,088,055,238/909,794
  6. Step 6: Final answer
    x = 478,227

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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.