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Finding the Fourth Proportional to 319,701.42, 478,936.62 and 199,805.22

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Solution

The fourth proportional to 319,701.42, 478,936.62 and 199,805.22 is: 299,323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,701.42 : 478,936.62 = 199,805.22 : x
  2. Step 2: Convert to fraction form
    319,701.42/478,936.62 = 199,805.22/x
  3. Step 3: Cross multiply
    319,701.42x = 478,936.62 × 199,805.22
  4. Step 4: Simplify right side
    319,701.42x = 95,694,036,725.16
  5. Step 5: Solve for x
    x = 95,694,036,725.16/319,701.42
  6. Step 6: Final answer
    x = 299,323.15

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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.