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Finding the Fourth Proportional to 478,091.70, 717,138.03 and 123,106.50

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Solution

The fourth proportional to 478,091.70, 717,138.03 and 123,106.50 is: 184,659.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,091.70 : 717,138.03 = 123,106.50 : x
  2. Step 2: Convert to fraction form
    478,091.70/717,138.03 = 123,106.50/x
  3. Step 3: Cross multiply
    478,091.70x = 717,138.03 × 123,106.50
  4. Step 4: Simplify right side
    478,091.70x = 88,284,352,890.20
  5. Step 5: Solve for x
    x = 88,284,352,890.20/478,091.70
  6. Step 6: Final answer
    x = 184,659.87

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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.