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Finding the Fourth Proportional to 428,269.70, 642,205.10 and 191,614.34

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Solution

The fourth proportional to 428,269.70, 642,205.10 and 191,614.34 is: 287,332.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,269.70 : 642,205.10 = 191,614.34 : x
  2. Step 2: Convert to fraction form
    428,269.70/642,205.10 = 191,614.34/x
  3. Step 3: Cross multiply
    428,269.70x = 642,205.10 × 191,614.34
  4. Step 4: Simplify right side
    428,269.70x = 123,055,703,649.14
  5. Step 5: Solve for x
    x = 123,055,703,649.14/428,269.70
  6. Step 6: Final answer
    x = 287,332.27

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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.