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Finding the Fourth Proportional to 292,806.40, 439,228.80 and 82,451.20

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Solution

The fourth proportional to 292,806.40, 439,228.80 and 82,451.20 is: 123,682.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,806.40 : 439,228.80 = 82,451.20 : x
  2. Step 2: Convert to fraction form
    292,806.40/439,228.80 = 82,451.20/x
  3. Step 3: Cross multiply
    292,806.40x = 439,228.80 × 82,451.20
  4. Step 4: Simplify right side
    292,806.40x = 36,214,941,634.56
  5. Step 5: Solve for x
    x = 36,214,941,634.56/292,806.40
  6. Step 6: Final answer
    x = 123,682.21

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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.