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Finding the Fourth Proportional to 478,754.56, 717,944.98 and 208,965.21

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Solution

The fourth proportional to 478,754.56, 717,944.98 and 208,965.21 is: 313,366.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,754.56 : 717,944.98 = 208,965.21 : x
  2. Step 2: Convert to fraction form
    478,754.56/717,944.98 = 208,965.21/x
  3. Step 3: Cross multiply
    478,754.56x = 717,944.98 × 208,965.21
  4. Step 4: Simplify right side
    478,754.56x = 150,025,523,514.15
  5. Step 5: Solve for x
    x = 150,025,523,514.15/478,754.56
  6. Step 6: Final answer
    x = 313,366.25

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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.