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Finding the Fourth Proportional to 470,790.60, 649,703.84 and 255,945.36

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Solution

The fourth proportional to 470,790.60, 649,703.84 and 255,945.36 is: 353,211.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,790.60 : 649,703.84 = 255,945.36 : x
  2. Step 2: Convert to fraction form
    470,790.60/649,703.84 = 255,945.36/x
  3. Step 3: Cross multiply
    470,790.60x = 649,703.84 × 255,945.36
  4. Step 4: Simplify right side
    470,790.60x = 166,288,683,222.18
  5. Step 5: Solve for x
    x = 166,288,683,222.18/470,790.60
  6. Step 6: Final answer
    x = 353,211.56

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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.