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Finding the Fourth Proportional to 319,418.16, 478,339.92 and 200,795.28

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Solution

The fourth proportional to 319,418.16, 478,339.92 and 200,795.28 is: 300,697.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,418.16 : 478,339.92 = 200,795.28 : x
  2. Step 2: Convert to fraction form
    319,418.16/478,339.92 = 200,795.28/x
  3. Step 3: Cross multiply
    319,418.16x = 478,339.92 × 200,795.28
  4. Step 4: Simplify right side
    319,418.16x = 96,048,398,171.58
  5. Step 5: Solve for x
    x = 96,048,398,171.58/319,418.16
  6. Step 6: Final answer
    x = 300,697.99

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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.