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Finding the Fourth Proportional to 312,655.89, 468,934.83 and 99,395.85

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Solution

The fourth proportional to 312,655.89, 468,934.83 and 99,395.85 is: 149,078.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,655.89 : 468,934.83 = 99,395.85 : x
  2. Step 2: Convert to fraction form
    312,655.89/468,934.83 = 99,395.85/x
  3. Step 3: Cross multiply
    312,655.89x = 468,934.83 × 99,395.85
  4. Step 4: Simplify right side
    312,655.89x = 46,610,176,022.46
  5. Step 5: Solve for x
    x = 46,610,176,022.46/312,655.89
  6. Step 6: Final answer
    x = 149,078.20

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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.