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Finding the Fourth Proportional to 312,007.10, 468,010.65 and 154,259.90

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Solution

The fourth proportional to 312,007.10, 468,010.65 and 154,259.90 is: 231,389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,007.10 : 468,010.65 = 154,259.90 : x
  2. Step 2: Convert to fraction form
    312,007.10/468,010.65 = 154,259.90/x
  3. Step 3: Cross multiply
    312,007.10x = 468,010.65 × 154,259.90
  4. Step 4: Simplify right side
    312,007.10x = 72,195,276,067.94
  5. Step 5: Solve for x
    x = 72,195,276,067.94/312,007.10
  6. Step 6: Final answer
    x = 231,389.85

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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.