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Finding the Fourth Proportional to 537,443.40, 806,138.52 and 200,457.78

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Solution

The fourth proportional to 537,443.40, 806,138.52 and 200,457.78 is: 300,676.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,443.40 : 806,138.52 = 200,457.78 : x
  2. Step 2: Convert to fraction form
    537,443.40/806,138.52 = 200,457.78/x
  3. Step 3: Cross multiply
    537,443.40x = 806,138.52 × 200,457.78
  4. Step 4: Simplify right side
    537,443.40x = 161,596,738,091.69
  5. Step 5: Solve for x
    x = 161,596,738,091.69/537,443.40
  6. Step 6: Final answer
    x = 300,676.76

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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.