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Finding the Fourth Proportional to 312,150.93, 468,285.45 and 98,972.54

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Solution

The fourth proportional to 312,150.93, 468,285.45 and 98,972.54 is: 148,477.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,150.93 : 468,285.45 = 98,972.54 : x
  2. Step 2: Convert to fraction form
    312,150.93/468,285.45 = 98,972.54/x
  3. Step 3: Cross multiply
    312,150.93x = 468,285.45 × 98,972.54
  4. Step 4: Simplify right side
    312,150.93x = 46,347,400,431.54
  5. Step 5: Solve for x
    x = 46,347,400,431.54/312,150.93
  6. Step 6: Final answer
    x = 148,477.53

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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.