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Finding the Fourth Proportional to 259,284.32, 388,929.60 and 72,284.48

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Solution

The fourth proportional to 259,284.32, 388,929.60 and 72,284.48 is: 108,427.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,284.32 : 388,929.60 = 72,284.48 : x
  2. Step 2: Convert to fraction form
    259,284.32/388,929.60 = 72,284.48/x
  3. Step 3: Cross multiply
    259,284.32x = 388,929.60 × 72,284.48
  4. Step 4: Simplify right side
    259,284.32x = 28,113,573,892.61
  5. Step 5: Solve for x
    x = 28,113,573,892.61/259,284.32
  6. Step 6: Final answer
    x = 108,427.59

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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.