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Finding the Fourth Proportional to 319,231.40, 478,847.09 and 108,871.16

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Solution

The fourth proportional to 319,231.40, 478,847.09 and 108,871.16 is: 163,306.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,231.40 : 478,847.09 = 108,871.16 : x
  2. Step 2: Convert to fraction form
    319,231.40/478,847.09 = 108,871.16/x
  3. Step 3: Cross multiply
    319,231.40x = 478,847.09 × 108,871.16
  4. Step 4: Simplify right side
    319,231.40x = 52,132,636,028.87
  5. Step 5: Solve for x
    x = 52,132,636,028.87/319,231.40
  6. Step 6: Final answer
    x = 163,306.73

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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.