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Finding the Fourth Proportional to 305,656.62, 457,888.41 and 200,155.74

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Solution

The fourth proportional to 305,656.62, 457,888.41 and 200,155.74 is: 299,842.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,656.62 : 457,888.41 = 200,155.74 : x
  2. Step 2: Convert to fraction form
    305,656.62/457,888.41 = 200,155.74/x
  3. Step 3: Cross multiply
    305,656.62x = 457,888.41 × 200,155.74
  4. Step 4: Simplify right side
    305,656.62x = 91,648,993,540.97
  5. Step 5: Solve for x
    x = 91,648,993,540.97/305,656.62
  6. Step 6: Final answer
    x = 299,842.99

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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.