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Finding the Fourth Proportional to 421,575.75, 632,317.05 and 106,032.78

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Solution

The fourth proportional to 421,575.75, 632,317.05 and 106,032.78 is: 159,037.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,575.75 : 632,317.05 = 106,032.78 : x
  2. Step 2: Convert to fraction form
    421,575.75/632,317.05 = 106,032.78/x
  3. Step 3: Cross multiply
    421,575.75x = 632,317.05 × 106,032.78
  4. Step 4: Simplify right side
    421,575.75x = 67,046,334,652.90
  5. Step 5: Solve for x
    x = 67,046,334,652.90/421,575.75
  6. Step 6: Final answer
    x = 159,037.46

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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.