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Finding the Fourth Proportional to 470,474.96, 705,711 and 189,988.88

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Solution

The fourth proportional to 470,474.96, 705,711 and 189,988.88 is: 284,982.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,474.96 : 705,711 = 189,988.88 : x
  2. Step 2: Convert to fraction form
    470,474.96/705,711 = 189,988.88/x
  3. Step 3: Cross multiply
    470,474.96x = 705,711 × 189,988.88
  4. Step 4: Simplify right side
    470,474.96x = 134,077,242,493.68
  5. Step 5: Solve for x
    x = 134,077,242,493.68/470,474.96
  6. Step 6: Final answer
    x = 284,982.74

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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.