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Finding the Fourth Proportional to 494,671.47, 742,135.14 and 289,679.25

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Solution

The fourth proportional to 494,671.47, 742,135.14 and 289,679.25 is: 434,593.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,671.47 : 742,135.14 = 289,679.25 : x
  2. Step 2: Convert to fraction form
    494,671.47/742,135.14 = 289,679.25/x
  3. Step 3: Cross multiply
    494,671.47x = 742,135.14 × 289,679.25
  4. Step 4: Simplify right side
    494,671.47x = 214,981,145,594.77
  5. Step 5: Solve for x
    x = 214,981,145,594.77/494,671.47
  6. Step 6: Final answer
    x = 434,593.78

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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.