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Finding the Fourth Proportional to 289,259.48, 399,200.75 and 166,791.24

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Solution

The fourth proportional to 289,259.48, 399,200.75 and 166,791.24 is: 230,184.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,259.48 : 399,200.75 = 166,791.24 : x
  2. Step 2: Convert to fraction form
    289,259.48/399,200.75 = 166,791.24/x
  3. Step 3: Cross multiply
    289,259.48x = 399,200.75 × 166,791.24
  4. Step 4: Simplify right side
    289,259.48x = 66,583,188,518.41
  5. Step 5: Solve for x
    x = 66,583,188,518.41/289,259.48
  6. Step 6: Final answer
    x = 230,184.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.