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Finding the Fourth Proportional to 318,764.86, 478,234.59 and 94,125.10

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Solution

The fourth proportional to 318,764.86, 478,234.59 and 94,125.10 is: 141,213.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,764.86 : 478,234.59 = 94,125.10 : x
  2. Step 2: Convert to fraction form
    318,764.86/478,234.59 = 94,125.10/x
  3. Step 3: Cross multiply
    318,764.86x = 478,234.59 × 94,125.10
  4. Step 4: Simplify right side
    318,764.86x = 45,013,878,607.21
  5. Step 5: Solve for x
    x = 45,013,878,607.21/318,764.86
  6. Step 6: Final answer
    x = 141,213.43

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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.