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Finding the Fourth Proportional to 312,362.83, 468,544.25 and 75,705.52

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Solution

The fourth proportional to 312,362.83, 468,544.25 and 75,705.52 is: 113,558.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,362.83 : 468,544.25 = 75,705.52 : x
  2. Step 2: Convert to fraction form
    312,362.83/468,544.25 = 75,705.52/x
  3. Step 3: Cross multiply
    312,362.83x = 468,544.25 × 75,705.52
  4. Step 4: Simplify right side
    312,362.83x = 35,471,386,089.26
  5. Step 5: Solve for x
    x = 35,471,386,089.26/312,362.83
  6. Step 6: Final answer
    x = 113,558.28

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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.