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Finding the Fourth Proportional to 470,728.92, 705,871.56 and 170,998.20

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Solution

The fourth proportional to 470,728.92, 705,871.56 and 170,998.20 is: 256,416.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,728.92 : 705,871.56 = 170,998.20 : x
  2. Step 2: Convert to fraction form
    470,728.92/705,871.56 = 170,998.20/x
  3. Step 3: Cross multiply
    470,728.92x = 705,871.56 × 170,998.20
  4. Step 4: Simplify right side
    470,728.92x = 120,702,766,191.19
  5. Step 5: Solve for x
    x = 120,702,766,191.19/470,728.92
  6. Step 6: Final answer
    x = 256,416.72

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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.