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Finding the Fourth Proportional to 329,937.50, 494,909.60 and 105,313.77

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Solution

The fourth proportional to 329,937.50, 494,909.60 and 105,313.77 is: 157,971.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,937.50 : 494,909.60 = 105,313.77 : x
  2. Step 2: Convert to fraction form
    329,937.50/494,909.60 = 105,313.77/x
  3. Step 3: Cross multiply
    329,937.50x = 494,909.60 × 105,313.77
  4. Step 4: Simplify right side
    329,937.50x = 52,120,795,258.62
  5. Step 5: Solve for x
    x = 52,120,795,258.62/329,937.50
  6. Step 6: Final answer
    x = 157,971.72

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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.