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Finding the Fourth Proportional to 331,405.57, 457,339.53 and 180,502.57

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Solution

The fourth proportional to 331,405.57, 457,339.53 and 180,502.57 is: 249,093.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,405.57 : 457,339.53 = 180,502.57 : x
  2. Step 2: Convert to fraction form
    331,405.57/457,339.53 = 180,502.57/x
  3. Step 3: Cross multiply
    331,405.57x = 457,339.53 × 180,502.57
  4. Step 4: Simplify right side
    331,405.57x = 82,550,960,527.59
  5. Step 5: Solve for x
    x = 82,550,960,527.59/331,405.57
  6. Step 6: Final answer
    x = 249,093.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.