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Finding the Fourth Proportional to 270,497.76, 405,783.60 and 112,689.36

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Solution

The fourth proportional to 270,497.76, 405,783.60 and 112,689.36 is: 169,049.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,497.76 : 405,783.60 = 112,689.36 : x
  2. Step 2: Convert to fraction form
    270,497.76/405,783.60 = 112,689.36/x
  3. Step 3: Cross multiply
    270,497.76x = 405,783.60 × 112,689.36
  4. Step 4: Simplify right side
    270,497.76x = 45,727,494,182.50
  5. Step 5: Solve for x
    x = 45,727,494,182.50/270,497.76
  6. Step 6: Final answer
    x = 169,049.44

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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.