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Finding the Fourth Proportional to 318,363.50, 477,548.50 and 96,747.50

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Solution

The fourth proportional to 318,363.50, 477,548.50 and 96,747.50 is: 145,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,363.50 : 477,548.50 = 96,747.50 : x
  2. Step 2: Convert to fraction form
    318,363.50/477,548.50 = 96,747.50/x
  3. Step 3: Cross multiply
    318,363.50x = 477,548.50 × 96,747.50
  4. Step 4: Simplify right side
    318,363.50x = 46,201,623,503.75
  5. Step 5: Solve for x
    x = 46,201,623,503.75/318,363.50
  6. Step 6: Final answer
    x = 145,122.24

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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.