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Finding the Fourth Proportional to 653,712.77, 901,864.21 and 378,019.68

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Solution

The fourth proportional to 653,712.77, 901,864.21 and 378,019.68 is: 521,517.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,712.77 : 901,864.21 = 378,019.68 : x
  2. Step 2: Convert to fraction form
    653,712.77/901,864.21 = 378,019.68/x
  3. Step 3: Cross multiply
    653,712.77x = 901,864.21 × 378,019.68
  4. Step 4: Simplify right side
    653,712.77x = 340,922,420,067.65
  5. Step 5: Solve for x
    x = 340,922,420,067.65/653,712.77
  6. Step 6: Final answer
    x = 521,517.15

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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.