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Finding the Fourth Proportional to 319,696.39, 478,929.12 and 199,800.19

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Solution

The fourth proportional to 319,696.39, 478,929.12 and 199,800.19 is: 299,315.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,696.39 : 478,929.12 = 199,800.19 : x
  2. Step 2: Convert to fraction form
    319,696.39/478,929.12 = 199,800.19/x
  3. Step 3: Cross multiply
    319,696.39x = 478,929.12 × 199,800.19
  4. Step 4: Simplify right side
    319,696.39x = 95,690,129,172.53
  5. Step 5: Solve for x
    x = 95,690,129,172.53/319,696.39
  6. Step 6: Final answer
    x = 299,315.64

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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.