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Finding the Fourth Proportional to 401,228, 553,694.64 and 222,380

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Solution

The fourth proportional to 401,228, 553,694.64 and 222,380 is: 306,884.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,228 : 553,694.64 = 222,380 : x
  2. Step 2: Convert to fraction form
    401,228/553,694.64 = 222,380/x
  3. Step 3: Cross multiply
    401,228x = 553,694.64 × 222,380
  4. Step 4: Simplify right side
    401,228x = 123,130,614,043.20
  5. Step 5: Solve for x
    x = 123,130,614,043.20/401,228
  6. Step 6: Final answer
    x = 306,884.40

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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.