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Finding the Fourth Proportional to 319,310, 478,965 and 129,873.44

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Solution

The fourth proportional to 319,310, 478,965 and 129,873.44 is: 194,810.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,310 : 478,965 = 129,873.44 : x
  2. Step 2: Convert to fraction form
    319,310/478,965 = 129,873.44/x
  3. Step 3: Cross multiply
    319,310x = 478,965 × 129,873.44
  4. Step 4: Simplify right side
    319,310x = 62,204,832,189.60
  5. Step 5: Solve for x
    x = 62,204,832,189.60/319,310
  6. Step 6: Final answer
    x = 194,810.16

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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.