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Finding the Fourth Proportional to 318,912.40, 478,040.44 and 141,502.96

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Solution

The fourth proportional to 318,912.40, 478,040.44 and 141,502.96 is: 212,108.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,912.40 : 478,040.44 = 141,502.96 : x
  2. Step 2: Convert to fraction form
    318,912.40/478,040.44 = 141,502.96/x
  3. Step 3: Cross multiply
    318,912.40x = 478,040.44 × 141,502.96
  4. Step 4: Simplify right side
    318,912.40x = 67,644,137,259.70
  5. Step 5: Solve for x
    x = 67,644,137,259.70/318,912.40
  6. Step 6: Final answer
    x = 212,108.83

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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.