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Finding the Fourth Proportional to 407,394, 611,107.56 and 194,052.24

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Solution

The fourth proportional to 407,394, 611,107.56 and 194,052.24 is: 291,086.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,394 : 611,107.56 = 194,052.24 : x
  2. Step 2: Convert to fraction form
    407,394/611,107.56 = 194,052.24/x
  3. Step 3: Cross multiply
    407,394x = 611,107.56 × 194,052.24
  4. Step 4: Simplify right side
    407,394x = 118,586,790,898.93
  5. Step 5: Solve for x
    x = 118,586,790,898.93/407,394
  6. Step 6: Final answer
    x = 291,086.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.