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Finding the Fourth Proportional to 305,405.62, 458,157.03 and 147,645.70

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Solution

The fourth proportional to 305,405.62, 458,157.03 and 147,645.70 is: 221,492.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,405.62 : 458,157.03 = 147,645.70 : x
  2. Step 2: Convert to fraction form
    305,405.62/458,157.03 = 147,645.70/x
  3. Step 3: Cross multiply
    305,405.62x = 458,157.03 × 147,645.70
  4. Step 4: Simplify right side
    305,405.62x = 67,644,915,404.27
  5. Step 5: Solve for x
    x = 67,644,915,404.27/305,405.62
  6. Step 6: Final answer
    x = 221,492.05

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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.