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Finding the Fourth Proportional to 470,170, 705,253.56 and 170,650.16

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Solution

The fourth proportional to 470,170, 705,253.56 and 170,650.16 is: 255,974.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,170 : 705,253.56 = 170,650.16 : x
  2. Step 2: Convert to fraction form
    470,170/705,253.56 = 170,650.16/x
  3. Step 3: Cross multiply
    470,170x = 705,253.56 × 170,650.16
  4. Step 4: Simplify right side
    470,170x = 120,351,632,854.57
  5. Step 5: Solve for x
    x = 120,351,632,854.57/470,170
  6. Step 6: Final answer
    x = 255,974.72

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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.