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Finding the Fourth Proportional to 318,301.74, 477,351.34 and 105,029.90

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Solution

The fourth proportional to 318,301.74, 477,351.34 and 105,029.90 is: 157,511.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,301.74 : 477,351.34 = 105,029.90 : x
  2. Step 2: Convert to fraction form
    318,301.74/477,351.34 = 105,029.90/x
  3. Step 3: Cross multiply
    318,301.74x = 477,351.34 × 105,029.90
  4. Step 4: Simplify right side
    318,301.74x = 50,136,163,505.07
  5. Step 5: Solve for x
    x = 50,136,163,505.07/318,301.74
  6. Step 6: Final answer
    x = 157,511.43

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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.