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Finding the Fourth Proportional to 292,856.40, 439,282.44 and 82,489.68

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Solution

The fourth proportional to 292,856.40, 439,282.44 and 82,489.68 is: 123,733.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,856.40 : 439,282.44 = 82,489.68 : x
  2. Step 2: Convert to fraction form
    292,856.40/439,282.44 = 82,489.68/x
  3. Step 3: Cross multiply
    292,856.40x = 439,282.44 × 82,489.68
  4. Step 4: Simplify right side
    292,856.40x = 36,236,267,905.22
  5. Step 5: Solve for x
    x = 36,236,267,905.22/292,856.40
  6. Step 6: Final answer
    x = 123,733.91

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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.