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Finding the Fourth Proportional to 338,735.57, 507,660.42 and 138,821.90

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Solution

The fourth proportional to 338,735.57, 507,660.42 and 138,821.90 is: 208,051.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,735.57 : 507,660.42 = 138,821.90 : x
  2. Step 2: Convert to fraction form
    338,735.57/507,660.42 = 138,821.90/x
  3. Step 3: Cross multiply
    338,735.57x = 507,660.42 × 138,821.90
  4. Step 4: Simplify right side
    338,735.57x = 70,474,385,848.93
  5. Step 5: Solve for x
    x = 70,474,385,848.93/338,735.57
  6. Step 6: Final answer
    x = 208,051.33

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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.