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Finding the Fourth Proportional to 305,660.69, 457,894.61 and 200,159.81

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Solution

The fourth proportional to 305,660.69, 457,894.61 and 200,159.81 is: 299,849.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,660.69 : 457,894.61 = 200,159.81 : x
  2. Step 2: Convert to fraction form
    305,660.69/457,894.61 = 200,159.81/x
  3. Step 3: Cross multiply
    305,660.69x = 457,894.61 × 200,159.81
  4. Step 4: Simplify right side
    305,660.69x = 91,652,098,281.56
  5. Step 5: Solve for x
    x = 91,652,098,281.56/305,660.69
  6. Step 6: Final answer
    x = 299,849.15

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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.