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Finding the Fourth Proportional to 312,661.39, 468,758.80 and 146,410.51

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Solution

The fourth proportional to 312,661.39, 468,758.80 and 146,410.51 is: 219,506.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,661.39 : 468,758.80 = 146,410.51 : x
  2. Step 2: Convert to fraction form
    312,661.39/468,758.80 = 146,410.51/x
  3. Step 3: Cross multiply
    312,661.39x = 468,758.80 × 146,410.51
  4. Step 4: Simplify right side
    312,661.39x = 68,631,214,974.99
  5. Step 5: Solve for x
    x = 68,631,214,974.99/312,661.39
  6. Step 6: Final answer
    x = 219,506.52

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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.