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Finding the Fourth Proportional to 447,826.14, 618,786.96 and 357,924

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Solution

The fourth proportional to 447,826.14, 618,786.96 and 357,924 is: 494,564.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,826.14 : 618,786.96 = 357,924 : x
  2. Step 2: Convert to fraction form
    447,826.14/618,786.96 = 357,924/x
  3. Step 3: Cross multiply
    447,826.14x = 618,786.96 × 357,924
  4. Step 4: Simplify right side
    447,826.14x = 221,478,703,871.04
  5. Step 5: Solve for x
    x = 221,478,703,871.04/447,826.14
  6. Step 6: Final answer
    x = 494,564.04

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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.