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Finding the Fourth Proportional to 312,603.20, 468,628.32 and 146,346.56

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Solution

The fourth proportional to 312,603.20, 468,628.32 and 146,346.56 is: 219,390.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,603.20 : 468,628.32 = 146,346.56 : x
  2. Step 2: Convert to fraction form
    312,603.20/468,628.32 = 146,346.56/x
  3. Step 3: Cross multiply
    312,603.20x = 468,628.32 × 146,346.56
  4. Step 4: Simplify right side
    312,603.20x = 68,582,142,550.58
  5. Step 5: Solve for x
    x = 68,582,142,550.58/312,603.20
  6. Step 6: Final answer
    x = 219,390.40

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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.