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Finding the Fourth Proportional to 478,121.94, 717,260.75 and 141,196.66

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Solution

The fourth proportional to 478,121.94, 717,260.75 and 141,196.66 is: 211,817.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,121.94 : 717,260.75 = 141,196.66 : x
  2. Step 2: Convert to fraction form
    478,121.94/717,260.75 = 141,196.66/x
  3. Step 3: Cross multiply
    478,121.94x = 717,260.75 × 141,196.66
  4. Step 4: Simplify right side
    478,121.94x = 101,274,822,249.10
  5. Step 5: Solve for x
    x = 101,274,822,249.10/478,121.94
  6. Step 6: Final answer
    x = 211,817.98

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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.