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Finding the Fourth Proportional to 318,810.88, 478,327 and 141,442.42

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Solution

The fourth proportional to 318,810.88, 478,327 and 141,442.42 is: 212,212.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,810.88 : 478,327 = 141,442.42 : x
  2. Step 2: Convert to fraction form
    318,810.88/478,327 = 141,442.42/x
  3. Step 3: Cross multiply
    318,810.88x = 478,327 × 141,442.42
  4. Step 4: Simplify right side
    318,810.88x = 67,655,728,431.34
  5. Step 5: Solve for x
    x = 67,655,728,431.34/318,810.88
  6. Step 6: Final answer
    x = 212,212.73

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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.