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Finding the Fourth Proportional to 305,137.53, 457,643.67 and 115,532.64

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Solution

The fourth proportional to 305,137.53, 457,643.67 and 115,532.64 is: 173,275.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,137.53 : 457,643.67 = 115,532.64 : x
  2. Step 2: Convert to fraction form
    305,137.53/457,643.67 = 115,532.64/x
  3. Step 3: Cross multiply
    305,137.53x = 457,643.67 × 115,532.64
  4. Step 4: Simplify right side
    305,137.53x = 52,872,781,374.39
  5. Step 5: Solve for x
    x = 52,872,781,374.39/305,137.53
  6. Step 6: Final answer
    x = 173,275.25

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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.