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Finding the Fourth Proportional to 315,333.82, 472,719.51 and 115,607.66

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Solution

The fourth proportional to 315,333.82, 472,719.51 and 115,607.66 is: 173,308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,333.82 : 472,719.51 = 115,607.66 : x
  2. Step 2: Convert to fraction form
    315,333.82/472,719.51 = 115,607.66/x
  3. Step 3: Cross multiply
    315,333.82x = 472,719.51 × 115,607.66
  4. Step 4: Simplify right side
    315,333.82x = 54,649,996,387.45
  5. Step 5: Solve for x
    x = 54,649,996,387.45/315,333.82
  6. Step 6: Final answer
    x = 173,308.39

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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.