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Finding the Fourth Proportional to 289,142.50, 399,058.62 and 166,611.04

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Solution

The fourth proportional to 289,142.50, 399,058.62 and 166,611.04 is: 229,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,142.50 : 399,058.62 = 166,611.04 : x
  2. Step 2: Convert to fraction form
    289,142.50/399,058.62 = 166,611.04/x
  3. Step 3: Cross multiply
    289,142.50x = 399,058.62 × 166,611.04
  4. Step 4: Simplify right side
    289,142.50x = 66,487,571,699.16
  5. Step 5: Solve for x
    x = 66,487,571,699.16/289,142.50
  6. Step 6: Final answer
    x = 229,947.42

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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.