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Finding the Fourth Proportional to 470,729.92, 705,873.06 and 170,999.20

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Solution

The fourth proportional to 470,729.92, 705,873.06 and 170,999.20 is: 256,418.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,729.92 : 705,873.06 = 170,999.20 : x
  2. Step 2: Convert to fraction form
    470,729.92/705,873.06 = 170,999.20/x
  3. Step 3: Cross multiply
    470,729.92x = 705,873.06 × 170,999.20
  4. Step 4: Simplify right side
    470,729.92x = 120,703,728,561.55
  5. Step 5: Solve for x
    x = 120,703,728,561.55/470,729.92
  6. Step 6: Final answer
    x = 256,418.22

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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.