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Finding the Fourth Proportional to 615,029.76, 922,583.52 and 259,977.60

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Solution

The fourth proportional to 615,029.76, 922,583.52 and 259,977.60 is: 389,982.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,029.76 : 922,583.52 = 259,977.60 : x
  2. Step 2: Convert to fraction form
    615,029.76/922,583.52 = 259,977.60/x
  3. Step 3: Cross multiply
    615,029.76x = 922,583.52 × 259,977.60
  4. Step 4: Simplify right side
    615,029.76x = 239,851,049,329.15
  5. Step 5: Solve for x
    x = 239,851,049,329.15/615,029.76
  6. Step 6: Final answer
    x = 389,982.83

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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.