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Finding the Fourth Proportional to 478,161.31, 716,909.05 and 211,777.42

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Solution

The fourth proportional to 478,161.31, 716,909.05 and 211,777.42 is: 317,518.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,161.31 : 716,909.05 = 211,777.42 : x
  2. Step 2: Convert to fraction form
    478,161.31/716,909.05 = 211,777.42/x
  3. Step 3: Cross multiply
    478,161.31x = 716,909.05 × 211,777.42
  4. Step 4: Simplify right side
    478,161.31x = 151,825,149,395.93
  5. Step 5: Solve for x
    x = 151,825,149,395.93/478,161.31
  6. Step 6: Final answer
    x = 317,518.68

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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.