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Finding the Fourth Proportional to 292,775.52, 439,124.40 and 82,431.60

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Solution

The fourth proportional to 292,775.52, 439,124.40 and 82,431.60 is: 123,636.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,775.52 : 439,124.40 = 82,431.60 : x
  2. Step 2: Convert to fraction form
    292,775.52/439,124.40 = 82,431.60/x
  3. Step 3: Cross multiply
    292,775.52x = 439,124.40 × 82,431.60
  4. Step 4: Simplify right side
    292,775.52x = 36,197,726,891.04
  5. Step 5: Solve for x
    x = 36,197,726,891.04/292,775.52
  6. Step 6: Final answer
    x = 123,636.45

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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.