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Finding the Fourth Proportional to 296,031, 408,532.50 and 161,895

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Solution

The fourth proportional to 296,031, 408,532.50 and 161,895 is: 223,420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,031 : 408,532.50 = 161,895 : x
  2. Step 2: Convert to fraction form
    296,031/408,532.50 = 161,895/x
  3. Step 3: Cross multiply
    296,031x = 408,532.50 × 161,895
  4. Step 4: Simplify right side
    296,031x = 66,139,369,087.50
  5. Step 5: Solve for x
    x = 66,139,369,087.50/296,031
  6. Step 6: Final answer
    x = 223,420.42

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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.