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Finding the Fourth Proportional to 315,002.99, 472,356.71 and 115,183.64

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Solution

The fourth proportional to 315,002.99, 472,356.71 and 115,183.64 is: 172,721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,002.99 : 472,356.71 = 115,183.64 : x
  2. Step 2: Convert to fraction form
    315,002.99/472,356.71 = 115,183.64/x
  3. Step 3: Cross multiply
    315,002.99x = 472,356.71 × 115,183.64
  4. Step 4: Simplify right side
    315,002.99x = 54,407,762,298.52
  5. Step 5: Solve for x
    x = 54,407,762,298.52/315,002.99
  6. Step 6: Final answer
    x = 172,721.42

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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.