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Finding the Fourth Proportional to 314,786.50, 472,006.61 and 215,059.30

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Solution

The fourth proportional to 314,786.50, 472,006.61 and 215,059.30 is: 322,470.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,786.50 : 472,006.61 = 215,059.30 : x
  2. Step 2: Convert to fraction form
    314,786.50/472,006.61 = 215,059.30/x
  3. Step 3: Cross multiply
    314,786.50x = 472,006.61 × 215,059.30
  4. Step 4: Simplify right side
    314,786.50x = 101,509,408,781.94
  5. Step 5: Solve for x
    x = 101,509,408,781.94/314,786.50
  6. Step 6: Final answer
    x = 322,470.66

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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.