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Finding the Fourth Proportional to 315,147, 472,724.62 and 104,784.94

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Solution

The fourth proportional to 315,147, 472,724.62 and 104,784.94 is: 157,178.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,147 : 472,724.62 = 104,784.94 : x
  2. Step 2: Convert to fraction form
    315,147/472,724.62 = 104,784.94/x
  3. Step 3: Cross multiply
    315,147x = 472,724.62 × 104,784.94
  4. Step 4: Simplify right side
    315,147x = 49,534,420,943.22
  5. Step 5: Solve for x
    x = 49,534,420,943.22/315,147
  6. Step 6: Final answer
    x = 157,178.78

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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.