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Finding the Fourth Proportional to 260,431.74, 390,662.82 and 100,508.58

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Solution

The fourth proportional to 260,431.74, 390,662.82 and 100,508.58 is: 150,768.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,431.74 : 390,662.82 = 100,508.58 : x
  2. Step 2: Convert to fraction form
    260,431.74/390,662.82 = 100,508.58/x
  3. Step 3: Cross multiply
    260,431.74x = 390,662.82 × 100,508.58
  4. Step 4: Simplify right side
    260,431.74x = 39,264,965,297.00
  5. Step 5: Solve for x
    x = 39,264,965,297.00/260,431.74
  6. Step 6: Final answer
    x = 150,768.74

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1.5x scale

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.