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Finding the Fourth Proportional to 421,553.16, 632,202.12 and 221,763.36

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Solution

The fourth proportional to 421,553.16, 632,202.12 and 221,763.36 is: 332,577.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,553.16 : 632,202.12 = 221,763.36 : x
  2. Step 2: Convert to fraction form
    421,553.16/632,202.12 = 221,763.36/x
  3. Step 3: Cross multiply
    421,553.16x = 632,202.12 × 221,763.36
  4. Step 4: Simplify right side
    421,553.16x = 140,199,266,330.32
  5. Step 5: Solve for x
    x = 140,199,266,330.32/421,553.16
  6. Step 6: Final answer
    x = 332,577.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.