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Finding the Fourth Proportional to 312,474.48, 468,733.64 and 125,486

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Solution

The fourth proportional to 312,474.48, 468,733.64 and 125,486 is: 188,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,474.48 : 468,733.64 = 125,486 : x
  2. Step 2: Convert to fraction form
    312,474.48/468,733.64 = 125,486/x
  3. Step 3: Cross multiply
    312,474.48x = 468,733.64 × 125,486
  4. Step 4: Simplify right side
    312,474.48x = 58,819,509,549.04
  5. Step 5: Solve for x
    x = 58,819,509,549.04/312,474.48
  6. Step 6: Final answer
    x = 188,237.80

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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.