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Finding the Fourth Proportional to 260,417.80, 390,648.30 and 82,919.80

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Solution

The fourth proportional to 260,417.80, 390,648.30 and 82,919.80 is: 124,386.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,417.80 : 390,648.30 = 82,919.80 : x
  2. Step 2: Convert to fraction form
    260,417.80/390,648.30 = 82,919.80/x
  3. Step 3: Cross multiply
    260,417.80x = 390,648.30 × 82,919.80
  4. Step 4: Simplify right side
    260,417.80x = 32,392,478,906.34
  5. Step 5: Solve for x
    x = 32,392,478,906.34/260,417.80
  6. Step 6: Final answer
    x = 124,386.58

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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.