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Finding the Fourth Proportional to 295,381, 407,572 and 166,299.40

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Solution

The fourth proportional to 295,381, 407,572 and 166,299.40 is: 229,462.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,381 : 407,572 = 166,299.40 : x
  2. Step 2: Convert to fraction form
    295,381/407,572 = 166,299.40/x
  3. Step 3: Cross multiply
    295,381x = 407,572 × 166,299.40
  4. Step 4: Simplify right side
    295,381x = 67,778,979,056.80
  5. Step 5: Solve for x
    x = 67,778,979,056.80/295,381
  6. Step 6: Final answer
    x = 229,462.89

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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.