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Finding the Fourth Proportional to 319,665.80, 479,498.70 and 133,041.80

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Solution

The fourth proportional to 319,665.80, 479,498.70 and 133,041.80 is: 199,562.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,665.80 : 479,498.70 = 133,041.80 : x
  2. Step 2: Convert to fraction form
    319,665.80/479,498.70 = 133,041.80/x
  3. Step 3: Cross multiply
    319,665.80x = 479,498.70 × 133,041.80
  4. Step 4: Simplify right side
    319,665.80x = 63,793,370,145.66
  5. Step 5: Solve for x
    x = 63,793,370,145.66/319,665.80
  6. Step 6: Final answer
    x = 199,562.70

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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.