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Finding the Fourth Proportional to 319,876.68, 479,815.63 and 83,218.98

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Solution

The fourth proportional to 319,876.68, 479,815.63 and 83,218.98 is: 124,828.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,876.68 : 479,815.63 = 83,218.98 : x
  2. Step 2: Convert to fraction form
    319,876.68/479,815.63 = 83,218.98/x
  3. Step 3: Cross multiply
    319,876.68x = 479,815.63 × 83,218.98
  4. Step 4: Simplify right side
    319,876.68x = 39,929,767,316.66
  5. Step 5: Solve for x
    x = 39,929,767,316.66/319,876.68
  6. Step 6: Final answer
    x = 124,828.63

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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.