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Finding the Fourth Proportional to 401,490, 554,056.20 and 222,642

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Solution

The fourth proportional to 401,490, 554,056.20 and 222,642 is: 307,245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,490 : 554,056.20 = 222,642 : x
  2. Step 2: Convert to fraction form
    401,490/554,056.20 = 222,642/x
  3. Step 3: Cross multiply
    401,490x = 554,056.20 × 222,642
  4. Step 4: Simplify right side
    401,490x = 123,356,180,480.40
  5. Step 5: Solve for x
    x = 123,356,180,480.40/401,490
  6. Step 6: Final answer
    x = 307,245.96

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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.