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Finding the Fourth Proportional to 618,470.28, 854,009.10 and 465,242.88

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Solution

The fourth proportional to 618,470.28, 854,009.10 and 465,242.88 is: 642,426.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,470.28 : 854,009.10 = 465,242.88 : x
  2. Step 2: Convert to fraction form
    618,470.28/854,009.10 = 465,242.88/x
  3. Step 3: Cross multiply
    618,470.28x = 854,009.10 × 465,242.88
  4. Step 4: Simplify right side
    618,470.28x = 397,321,653,230.21
  5. Step 5: Solve for x
    x = 397,321,653,230.21/618,470.28
  6. Step 6: Final answer
    x = 642,426.43

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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.