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Finding the Fourth Proportional to 262,406.40, 393,658.20 and 84,919.20

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Solution

The fourth proportional to 262,406.40, 393,658.20 and 84,919.20 is: 127,394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,406.40 : 393,658.20 = 84,919.20 : x
  2. Step 2: Convert to fraction form
    262,406.40/393,658.20 = 84,919.20/x
  3. Step 3: Cross multiply
    262,406.40x = 393,658.20 × 84,919.20
  4. Step 4: Simplify right side
    262,406.40x = 33,429,139,417.44
  5. Step 5: Solve for x
    x = 33,429,139,417.44/262,406.40
  6. Step 6: Final answer
    x = 127,394.53

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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.