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Finding the Fourth Proportional to 319,020.36, 478,532.40 and 82,346.88

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Solution

The fourth proportional to 319,020.36, 478,532.40 and 82,346.88 is: 123,520.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,020.36 : 478,532.40 = 82,346.88 : x
  2. Step 2: Convert to fraction form
    319,020.36/478,532.40 = 82,346.88/x
  3. Step 3: Cross multiply
    319,020.36x = 478,532.40 × 82,346.88
  4. Step 4: Simplify right side
    319,020.36x = 39,405,650,118.91
  5. Step 5: Solve for x
    x = 39,405,650,118.91/319,020.36
  6. Step 6: Final answer
    x = 123,520.80

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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.