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Finding the Fourth Proportional to 478,120.94, 717,259.25 and 141,195.66

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Solution

The fourth proportional to 478,120.94, 717,259.25 and 141,195.66 is: 211,816.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,120.94 : 717,259.25 = 141,195.66 : x
  2. Step 2: Convert to fraction form
    478,120.94/717,259.25 = 141,195.66/x
  3. Step 3: Cross multiply
    478,120.94x = 717,259.25 × 141,195.66
  4. Step 4: Simplify right side
    478,120.94x = 101,273,892,488.88
  5. Step 5: Solve for x
    x = 101,273,892,488.88/478,120.94
  6. Step 6: Final answer
    x = 211,816.48

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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.