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Finding the Fourth Proportional to 319,522.55, 478,919.38 and 199,634.63

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Solution

The fourth proportional to 319,522.55, 478,919.38 and 199,634.63 is: 299,224.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,522.55 : 478,919.38 = 199,634.63 : x
  2. Step 2: Convert to fraction form
    319,522.55/478,919.38 = 199,634.63/x
  3. Step 3: Cross multiply
    319,522.55x = 478,919.38 × 199,634.63
  4. Step 4: Simplify right side
    319,522.55x = 95,608,893,226.13
  5. Step 5: Solve for x
    x = 95,608,893,226.13/319,522.55
  6. Step 6: Final answer
    x = 299,224.24

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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.