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Finding the Fourth Proportional to 478,709.70, 717,116.85 and 310,347.15

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Solution

The fourth proportional to 478,709.70, 717,116.85 and 310,347.15 is: 464,906.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,709.70 : 717,116.85 = 310,347.15 : x
  2. Step 2: Convert to fraction form
    478,709.70/717,116.85 = 310,347.15/x
  3. Step 3: Cross multiply
    478,709.70x = 717,116.85 × 310,347.15
  4. Step 4: Simplify right side
    478,709.70x = 222,555,170,614.48
  5. Step 5: Solve for x
    x = 222,555,170,614.48/478,709.70
  6. Step 6: Final answer
    x = 464,906.33

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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.