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Finding the Fourth Proportional to 319,067.40, 478,601.10 and 311,194.20

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Solution

The fourth proportional to 319,067.40, 478,601.10 and 311,194.20 is: 466,791.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,067.40 : 478,601.10 = 311,194.20 : x
  2. Step 2: Convert to fraction form
    319,067.40/478,601.10 = 311,194.20/x
  3. Step 3: Cross multiply
    319,067.40x = 478,601.10 × 311,194.20
  4. Step 4: Simplify right side
    319,067.40x = 148,937,886,433.62
  5. Step 5: Solve for x
    x = 148,937,886,433.62/319,067.40
  6. Step 6: Final answer
    x = 466,791.30

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1.5x scale

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.