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Finding the Fourth Proportional to 315,190.04, 472,786.86 and 78,532.76

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Solution

The fourth proportional to 315,190.04, 472,786.86 and 78,532.76 is: 117,799.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,190.04 : 472,786.86 = 78,532.76 : x
  2. Step 2: Convert to fraction form
    315,190.04/472,786.86 = 78,532.76/x
  3. Step 3: Cross multiply
    315,190.04x = 472,786.86 × 78,532.76
  4. Step 4: Simplify right side
    315,190.04x = 37,129,257,007.53
  5. Step 5: Solve for x
    x = 37,129,257,007.53/315,190.04
  6. Step 6: Final answer
    x = 117,799.59

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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.