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Finding the Fourth Proportional to 311,931.66, 467,897.40 and 122,481.30

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Solution

The fourth proportional to 311,931.66, 467,897.40 and 122,481.30 is: 183,721.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,931.66 : 467,897.40 = 122,481.30 : x
  2. Step 2: Convert to fraction form
    311,931.66/467,897.40 = 122,481.30/x
  3. Step 3: Cross multiply
    311,931.66x = 467,897.40 × 122,481.30
  4. Step 4: Simplify right side
    311,931.66x = 57,308,681,818.62
  5. Step 5: Solve for x
    x = 57,308,681,818.62/311,931.66
  6. Step 6: Final answer
    x = 183,721.91

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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.