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Finding the Fourth Proportional to 296,030.50, 408,531.81 and 161,894.50

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Solution

The fourth proportional to 296,030.50, 408,531.81 and 161,894.50 is: 223,419.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,030.50 : 408,531.81 = 161,894.50 : x
  2. Step 2: Convert to fraction form
    296,030.50/408,531.81 = 161,894.50/x
  3. Step 3: Cross multiply
    296,030.50x = 408,531.81 × 161,894.50
  4. Step 4: Simplify right side
    296,030.50x = 66,139,053,114.05
  5. Step 5: Solve for x
    x = 66,139,053,114.05/296,030.50
  6. Step 6: Final answer
    x = 223,419.73

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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.