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Finding the Fourth Proportional to 308,898.56, 426,153.96 and 194,140.19

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Solution

The fourth proportional to 308,898.56, 426,153.96 and 194,140.19 is: 267,834.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,898.56 : 426,153.96 = 194,140.19 : x
  2. Step 2: Convert to fraction form
    308,898.56/426,153.96 = 194,140.19/x
  3. Step 3: Cross multiply
    308,898.56x = 426,153.96 × 194,140.19
  4. Step 4: Simplify right side
    308,898.56x = 82,733,611,829.04
  5. Step 5: Solve for x
    x = 82,733,611,829.04/308,898.56
  6. Step 6: Final answer
    x = 267,834.24

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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.