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Finding the Fourth Proportional to 318,871.91, 478,278.70 and 97,255.91

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Solution

The fourth proportional to 318,871.91, 478,278.70 and 97,255.91 is: 145,874.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,871.91 : 478,278.70 = 97,255.91 : x
  2. Step 2: Convert to fraction form
    318,871.91/478,278.70 = 97,255.91/x
  3. Step 3: Cross multiply
    318,871.91x = 478,278.70 × 97,255.91
  4. Step 4: Simplify right side
    318,871.91x = 46,515,430,202.12
  5. Step 5: Solve for x
    x = 46,515,430,202.12/318,871.91
  6. Step 6: Final answer
    x = 145,874.97

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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.