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Finding the Fourth Proportional to 305,089.64, 457,639.22 and 115,499.12

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Solution

The fourth proportional to 305,089.64, 457,639.22 and 115,499.12 is: 173,250.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,089.64 : 457,639.22 = 115,499.12 : x
  2. Step 2: Convert to fraction form
    305,089.64/457,639.22 = 115,499.12/x
  3. Step 3: Cross multiply
    305,089.64x = 457,639.22 × 115,499.12
  4. Step 4: Simplify right side
    305,089.64x = 52,856,924,538.36
  5. Step 5: Solve for x
    x = 52,856,924,538.36/305,089.64
  6. Step 6: Final answer
    x = 173,250.47

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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.