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Finding the Fourth Proportional to 418,993.97, 578,213.64 and 228,009.33

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Solution

The fourth proportional to 418,993.97, 578,213.64 and 228,009.33 is: 314,653.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,993.97 : 578,213.64 = 228,009.33 : x
  2. Step 2: Convert to fraction form
    418,993.97/578,213.64 = 228,009.33/x
  3. Step 3: Cross multiply
    418,993.97x = 578,213.64 × 228,009.33
  4. Step 4: Simplify right side
    418,993.97x = 131,838,104,653.26
  5. Step 5: Solve for x
    x = 131,838,104,653.26/418,993.97
  6. Step 6: Final answer
    x = 314,653.95

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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.