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Finding the Fourth Proportional to 470,611.59, 649,448.11 and 255,751.64

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Solution

The fourth proportional to 470,611.59, 649,448.11 and 255,751.64 is: 352,939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,611.59 : 649,448.11 = 255,751.64 : x
  2. Step 2: Convert to fraction form
    470,611.59/649,448.11 = 255,751.64/x
  3. Step 3: Cross multiply
    470,611.59x = 649,448.11 × 255,751.64
  4. Step 4: Simplify right side
    470,611.59x = 166,097,419,227.40
  5. Step 5: Solve for x
    x = 166,097,419,227.40/470,611.59
  6. Step 6: Final answer
    x = 352,939.50

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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.