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Finding the Fourth Proportional to 320,861.50, 442,905.52 and 186,725.50

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Solution

The fourth proportional to 320,861.50, 442,905.52 and 186,725.50 is: 257,749.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,861.50 : 442,905.52 = 186,725.50 : x
  2. Step 2: Convert to fraction form
    320,861.50/442,905.52 = 186,725.50/x
  3. Step 3: Cross multiply
    320,861.50x = 442,905.52 × 186,725.50
  4. Step 4: Simplify right side
    320,861.50x = 82,701,754,674.76
  5. Step 5: Solve for x
    x = 82,701,754,674.76/320,861.50
  6. Step 6: Final answer
    x = 257,749.07

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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.