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Finding the Fourth Proportional to 421,237.86, 632,417.31 and 221,698.38

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Solution

The fourth proportional to 421,237.86, 632,417.31 and 221,698.38 is: 332,842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,237.86 : 632,417.31 = 221,698.38 : x
  2. Step 2: Convert to fraction form
    421,237.86/632,417.31 = 221,698.38/x
  3. Step 3: Cross multiply
    421,237.86x = 632,417.31 × 221,698.38
  4. Step 4: Simplify right side
    421,237.86x = 140,205,893,110.96
  5. Step 5: Solve for x
    x = 140,205,893,110.96/421,237.86
  6. Step 6: Final answer
    x = 332,842.57

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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.