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Finding the Fourth Proportional to 421,557.66, 632,208.86 and 221,767.86

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Solution

The fourth proportional to 421,557.66, 632,208.86 and 221,767.86 is: 332,584.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,557.66 : 632,208.86 = 221,767.86 : x
  2. Step 2: Convert to fraction form
    421,557.66/632,208.86 = 221,767.86/x
  3. Step 3: Cross multiply
    421,557.66x = 632,208.86 × 221,767.86
  4. Step 4: Simplify right side
    421,557.66x = 140,203,605,955.24
  5. Step 5: Solve for x
    x = 140,203,605,955.24/421,557.66
  6. Step 6: Final answer
    x = 332,584.65

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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.