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Finding the Fourth Proportional to 315,145, 472,721.62 and 104,782.94

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Solution

The fourth proportional to 315,145, 472,721.62 and 104,782.94 is: 157,175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,145 : 472,721.62 = 104,782.94 : x
  2. Step 2: Convert to fraction form
    315,145/472,721.62 = 104,782.94/x
  3. Step 3: Cross multiply
    315,145x = 472,721.62 × 104,782.94
  4. Step 4: Simplify right side
    315,145x = 49,533,161,145.16
  5. Step 5: Solve for x
    x = 49,533,161,145.16/315,145
  6. Step 6: Final answer
    x = 157,175.78

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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.