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Finding the Fourth Proportional to 319,083.98, 478,645.45 and 102,964.64

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Solution

The fourth proportional to 319,083.98, 478,645.45 and 102,964.64 is: 154,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,083.98 : 478,645.45 = 102,964.64 : x
  2. Step 2: Convert to fraction form
    319,083.98/478,645.45 = 102,964.64/x
  3. Step 3: Cross multiply
    319,083.98x = 478,645.45 × 102,964.64
  4. Step 4: Simplify right side
    319,083.98x = 49,283,558,414.00
  5. Step 5: Solve for x
    x = 49,283,558,414.00/319,083.98
  6. Step 6: Final answer
    x = 154,453.25

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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.