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Finding the Fourth Proportional to 318,193.70, 478,165.35 and 297,388.04

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Solution

The fourth proportional to 318,193.70, 478,165.35 and 297,388.04 is: 446,899.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,193.70 : 478,165.35 = 297,388.04 : x
  2. Step 2: Convert to fraction form
    318,193.70/478,165.35 = 297,388.04/x
  3. Step 3: Cross multiply
    318,193.70x = 478,165.35 × 297,388.04
  4. Step 4: Simplify right side
    318,193.70x = 142,200,654,293.53
  5. Step 5: Solve for x
    x = 142,200,654,293.53/318,193.70
  6. Step 6: Final answer
    x = 446,899.66

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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.