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Finding the Fourth Proportional to 305,217.60, 458,045.10 and 171,956.40

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Solution

The fourth proportional to 305,217.60, 458,045.10 and 171,956.40 is: 258,057.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,217.60 : 458,045.10 = 171,956.40 : x
  2. Step 2: Convert to fraction form
    305,217.60/458,045.10 = 171,956.40/x
  3. Step 3: Cross multiply
    305,217.60x = 458,045.10 × 171,956.40
  4. Step 4: Simplify right side
    305,217.60x = 78,763,786,433.64
  5. Step 5: Solve for x
    x = 78,763,786,433.64/305,217.60
  6. Step 6: Final answer
    x = 258,057.81

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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.