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Finding the Fourth Proportional to 296,043.88, 408,543.78 and 161,905

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Solution

The fourth proportional to 296,043.88, 408,543.78 and 161,905 is: 223,430.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,043.88 : 408,543.78 = 161,905 : x
  2. Step 2: Convert to fraction form
    296,043.88/408,543.78 = 161,905/x
  3. Step 3: Cross multiply
    296,043.88x = 408,543.78 × 161,905
  4. Step 4: Simplify right side
    296,043.88x = 66,145,280,700.90
  5. Step 5: Solve for x
    x = 66,145,280,700.90/296,043.88
  6. Step 6: Final answer
    x = 223,430.66

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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.