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Finding the Fourth Proportional to 319,522.93, 478,919.94 and 199,635.01

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Solution

The fourth proportional to 319,522.93, 478,919.94 and 199,635.01 is: 299,224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,522.93 : 478,919.94 = 199,635.01 : x
  2. Step 2: Convert to fraction form
    319,522.93/478,919.94 = 199,635.01/x
  3. Step 3: Cross multiply
    319,522.93x = 478,919.94 × 199,635.01
  4. Step 4: Simplify right side
    319,522.93x = 95,609,185,115.59
  5. Step 5: Solve for x
    x = 95,609,185,115.59/319,522.93
  6. Step 6: Final answer
    x = 299,224.81

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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.