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Finding the Fourth Proportional to 401,054, 553,454.52 and 222,206

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Solution

The fourth proportional to 401,054, 553,454.52 and 222,206 is: 306,644.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,054 : 553,454.52 = 222,206 : x
  2. Step 2: Convert to fraction form
    401,054/553,454.52 = 222,206/x
  3. Step 3: Cross multiply
    401,054x = 553,454.52 × 222,206
  4. Step 4: Simplify right side
    401,054x = 122,980,915,071.12
  5. Step 5: Solve for x
    x = 122,980,915,071.12/401,054
  6. Step 6: Final answer
    x = 306,644.28

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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.