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Finding the Fourth Proportional to 312,429.63, 468,666.31 and 125,441.13

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Solution

The fourth proportional to 312,429.63, 468,666.31 and 125,441.13 is: 188,170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,429.63 : 468,666.31 = 125,441.13 : x
  2. Step 2: Convert to fraction form
    312,429.63/468,666.31 = 125,441.13/x
  3. Step 3: Cross multiply
    312,429.63x = 468,666.31 × 125,441.13
  4. Step 4: Simplify right side
    312,429.63x = 58,790,028,862.40
  5. Step 5: Solve for x
    x = 58,790,028,862.40/312,429.63
  6. Step 6: Final answer
    x = 188,170.47

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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.