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Finding the Fourth Proportional to 305,987.72, 458,653.44 and 147,998.84

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Solution

The fourth proportional to 305,987.72, 458,653.44 and 147,998.84 is: 221,839.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,987.72 : 458,653.44 = 147,998.84 : x
  2. Step 2: Convert to fraction form
    305,987.72/458,653.44 = 147,998.84/x
  3. Step 3: Cross multiply
    305,987.72x = 458,653.44 × 147,998.84
  4. Step 4: Simplify right side
    305,987.72x = 67,880,177,082.01
  5. Step 5: Solve for x
    x = 67,880,177,082.01/305,987.72
  6. Step 6: Final answer
    x = 221,839.55

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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.