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Finding the Fourth Proportional to 319,696.89, 478,929.87 and 199,800.69

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Solution

The fourth proportional to 319,696.89, 478,929.87 and 199,800.69 is: 299,316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,696.89 : 478,929.87 = 199,800.69 : x
  2. Step 2: Convert to fraction form
    319,696.89/478,929.87 = 199,800.69/x
  3. Step 3: Cross multiply
    319,696.89x = 478,929.87 × 199,800.69
  4. Step 4: Simplify right side
    319,696.89x = 95,690,518,487.61
  5. Step 5: Solve for x
    x = 95,690,518,487.61/319,696.89
  6. Step 6: Final answer
    x = 299,316.39

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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.