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Finding the Fourth Proportional to 319,876.93, 479,816.01 and 83,219.23

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Solution

The fourth proportional to 319,876.93, 479,816.01 and 83,219.23 is: 124,829.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,876.93 : 479,816.01 = 83,219.23 : x
  2. Step 2: Convert to fraction form
    319,876.93/479,816.01 = 83,219.23/x
  3. Step 3: Cross multiply
    319,876.93x = 479,816.01 × 83,219.23
  4. Step 4: Simplify right side
    319,876.93x = 39,929,918,477.78
  5. Step 5: Solve for x
    x = 39,929,918,477.78/319,876.93
  6. Step 6: Final answer
    x = 124,829.00

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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.