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Finding the Fourth Proportional to 470,638.58, 649,485.37 and 255,778.78

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Solution

The fourth proportional to 470,638.58, 649,485.37 and 255,778.78 is: 352,976.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,638.58 : 649,485.37 = 255,778.78 : x
  2. Step 2: Convert to fraction form
    470,638.58/649,485.37 = 255,778.78/x
  3. Step 3: Cross multiply
    470,638.58x = 649,485.37 × 255,778.78
  4. Step 4: Simplify right side
    470,638.58x = 166,124,575,566.45
  5. Step 5: Solve for x
    x = 166,124,575,566.45/470,638.58
  6. Step 6: Final answer
    x = 352,976.96

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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.