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Finding the Fourth Proportional to 401,378.40, 553,927.04 and 222,530.40

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Solution

The fourth proportional to 401,378.40, 553,927.04 and 222,530.40 is: 307,105.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,378.40 : 553,927.04 = 222,530.40 : x
  2. Step 2: Convert to fraction form
    401,378.40/553,927.04 = 222,530.40/x
  3. Step 3: Cross multiply
    401,378.40x = 553,927.04 × 222,530.40
  4. Step 4: Simplify right side
    401,378.40x = 123,265,605,782.02
  5. Step 5: Solve for x
    x = 123,265,605,782.02/401,378.40
  6. Step 6: Final answer
    x = 307,105.73

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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.