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Finding the Fourth Proportional to 421,823.72, 632,801.50 and 137,448.32

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Solution

The fourth proportional to 421,823.72, 632,801.50 and 137,448.32 is: 206,193.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,823.72 : 632,801.50 = 137,448.32 : x
  2. Step 2: Convert to fraction form
    421,823.72/632,801.50 = 137,448.32/x
  3. Step 3: Cross multiply
    421,823.72x = 632,801.50 × 137,448.32
  4. Step 4: Simplify right side
    421,823.72x = 86,977,499,560.85
  5. Step 5: Solve for x
    x = 86,977,499,560.85/421,823.72
  6. Step 6: Final answer
    x = 206,193.95

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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.