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Finding the Fourth Proportional to 478,276.20, 717,414.30 and 401,293.80

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Solution

The fourth proportional to 478,276.20, 717,414.30 and 401,293.80 is: 601,940.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,276.20 : 717,414.30 = 401,293.80 : x
  2. Step 2: Convert to fraction form
    478,276.20/717,414.30 = 401,293.80/x
  3. Step 3: Cross multiply
    478,276.20x = 717,414.30 × 401,293.80
  4. Step 4: Simplify right side
    478,276.20x = 287,893,910,621.34
  5. Step 5: Solve for x
    x = 287,893,910,621.34/478,276.20
  6. Step 6: Final answer
    x = 601,940.70

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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.