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Finding the Fourth Proportional to 452,457, 678,218.90 and 203,313.96

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Solution

The fourth proportional to 452,457, 678,218.90 and 203,313.96 is: 304,761.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,457 : 678,218.90 = 203,313.96 : x
  2. Step 2: Convert to fraction form
    452,457/678,218.90 = 203,313.96/x
  3. Step 3: Cross multiply
    452,457x = 678,218.90 × 203,313.96
  4. Step 4: Simplify right side
    452,457x = 137,891,370,305.84
  5. Step 5: Solve for x
    x = 137,891,370,305.84/452,457
  6. Step 6: Final answer
    x = 304,761.27

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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.