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Finding the Fourth Proportional to 318,722.26, 478,118.42 and 105,412.48

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Solution

The fourth proportional to 318,722.26, 478,118.42 and 105,412.48 is: 158,130.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,722.26 : 478,118.42 = 105,412.48 : x
  2. Step 2: Convert to fraction form
    318,722.26/478,118.42 = 105,412.48/x
  3. Step 3: Cross multiply
    318,722.26x = 478,118.42 × 105,412.48
  4. Step 4: Simplify right side
    318,722.26x = 50,399,645,964.70
  5. Step 5: Solve for x
    x = 50,399,645,964.70/318,722.26
  6. Step 6: Final answer
    x = 158,130.30

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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.