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Finding the Fourth Proportional to 312,459, 468,710.37 and 125,470.50

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Solution

The fourth proportional to 312,459, 468,710.37 and 125,470.50 is: 188,214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,459 : 468,710.37 = 125,470.50 : x
  2. Step 2: Convert to fraction form
    312,459/468,710.37 = 125,470.50/x
  3. Step 3: Cross multiply
    312,459x = 468,710.37 × 125,470.50
  4. Step 4: Simplify right side
    312,459x = 58,809,324,479.09
  5. Step 5: Solve for x
    x = 58,809,324,479.09/312,459
  6. Step 6: Final answer
    x = 188,214.53

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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.