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Finding the Fourth Proportional to 400,705, 552,990.18 and 221,857

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Solution

The fourth proportional to 400,705, 552,990.18 and 221,857 is: 306,172.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,705 : 552,990.18 = 221,857 : x
  2. Step 2: Convert to fraction form
    400,705/552,990.18 = 221,857/x
  3. Step 3: Cross multiply
    400,705x = 552,990.18 × 221,857
  4. Step 4: Simplify right side
    400,705x = 122,684,742,364.26
  5. Step 5: Solve for x
    x = 122,684,742,364.26/400,705
  6. Step 6: Final answer
    x = 306,172.23

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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.