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Finding the Fourth Proportional to 305,131.50, 457,697.25 and 118,143

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Solution

The fourth proportional to 305,131.50, 457,697.25 and 118,143 is: 177,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,131.50 : 457,697.25 = 118,143 : x
  2. Step 2: Convert to fraction form
    305,131.50/457,697.25 = 118,143/x
  3. Step 3: Cross multiply
    305,131.50x = 457,697.25 × 118,143
  4. Step 4: Simplify right side
    305,131.50x = 54,073,726,206.75
  5. Step 5: Solve for x
    x = 54,073,726,206.75/305,131.50
  6. Step 6: Final answer
    x = 177,214.50

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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.