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Finding the Fourth Proportional to 482,742.92, 666,314.38 and 301,345.56

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Solution

The fourth proportional to 482,742.92, 666,314.38 and 301,345.56 is: 415,937.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,742.92 : 666,314.38 = 301,345.56 : x
  2. Step 2: Convert to fraction form
    482,742.92/666,314.38 = 301,345.56/x
  3. Step 3: Cross multiply
    482,742.92x = 666,314.38 × 301,345.56
  4. Step 4: Simplify right side
    482,742.92x = 200,790,879,977.15
  5. Step 5: Solve for x
    x = 200,790,879,977.15/482,742.92
  6. Step 6: Final answer
    x = 415,937.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.