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Finding the Fourth Proportional to 320,861.32, 442,793.86 and 175,664.67

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Solution

The fourth proportional to 320,861.32, 442,793.86 and 175,664.67 is: 242,420.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,861.32 : 442,793.86 = 175,664.67 : x
  2. Step 2: Convert to fraction form
    320,861.32/442,793.86 = 175,664.67/x
  3. Step 3: Cross multiply
    320,861.32x = 442,793.86 × 175,664.67
  4. Step 4: Simplify right side
    320,861.32x = 77,783,237,294.93
  5. Step 5: Solve for x
    x = 77,783,237,294.93/320,861.32
  6. Step 6: Final answer
    x = 242,420.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.