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Finding the Fourth Proportional to 426,272.49, 638,799.21 and 313,064.46

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Solution

The fourth proportional to 426,272.49, 638,799.21 and 313,064.46 is: 469,149.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,272.49 : 638,799.21 = 313,064.46 : x
  2. Step 2: Convert to fraction form
    426,272.49/638,799.21 = 313,064.46/x
  3. Step 3: Cross multiply
    426,272.49x = 638,799.21 × 313,064.46
  4. Step 4: Simplify right side
    426,272.49x = 199,985,329,727.08
  5. Step 5: Solve for x
    x = 199,985,329,727.08/426,272.49
  6. Step 6: Final answer
    x = 469,149.04

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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.