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Finding the Fourth Proportional to 470,611.72, 649,448.28 and 255,751.76

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Solution

The fourth proportional to 470,611.72, 649,448.28 and 255,751.76 is: 352,939.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,611.72 : 649,448.28 = 255,751.76 : x
  2. Step 2: Convert to fraction form
    470,611.72/649,448.28 = 255,751.76/x
  3. Step 3: Cross multiply
    470,611.72x = 649,448.28 × 255,751.76
  4. Step 4: Simplify right side
    470,611.72x = 166,097,542,262.59
  5. Step 5: Solve for x
    x = 166,097,542,262.59/470,611.72
  6. Step 6: Final answer
    x = 352,939.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.