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Finding the Fourth Proportional to 305,661.47, 457,895.75 and 200,160.59

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Solution

The fourth proportional to 305,661.47, 457,895.75 and 200,160.59 is: 299,850.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,661.47 : 457,895.75 = 200,160.59 : x
  2. Step 2: Convert to fraction form
    305,661.47/457,895.75 = 200,160.59/x
  3. Step 3: Cross multiply
    305,661.47x = 457,895.75 × 200,160.59
  4. Step 4: Simplify right side
    305,661.47x = 91,652,680,188.21
  5. Step 5: Solve for x
    x = 91,652,680,188.21/305,661.47
  6. Step 6: Final answer
    x = 299,850.29

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1.5x scale

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.