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Finding the Fourth Proportional to 319,866.42, 479,800.24 and 83,208.72

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Solution

The fourth proportional to 319,866.42, 479,800.24 and 83,208.72 is: 124,813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,866.42 : 479,800.24 = 83,208.72 : x
  2. Step 2: Convert to fraction form
    319,866.42/479,800.24 = 83,208.72/x
  3. Step 3: Cross multiply
    319,866.42x = 479,800.24 × 83,208.72
  4. Step 4: Simplify right side
    319,866.42x = 39,923,563,410.05
  5. Step 5: Solve for x
    x = 39,923,563,410.05/319,866.42
  6. Step 6: Final answer
    x = 124,813.24

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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.