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Finding the Fourth Proportional to 315,005.76, 472,353.12 and 115,175.52

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Solution

The fourth proportional to 315,005.76, 472,353.12 and 115,175.52 is: 172,706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,005.76 : 472,353.12 = 115,175.52 : x
  2. Step 2: Convert to fraction form
    315,005.76/472,353.12 = 115,175.52/x
  3. Step 3: Cross multiply
    315,005.76x = 472,353.12 × 115,175.52
  4. Step 4: Simplify right side
    315,005.76x = 54,403,516,219.62
  5. Step 5: Solve for x
    x = 54,403,516,219.62/315,005.76
  6. Step 6: Final answer
    x = 172,706.42

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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.