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Finding the Fourth Proportional to 470,650.31, 649,502.45 and 255,790.38

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Solution

The fourth proportional to 470,650.31, 649,502.45 and 255,790.38 is: 352,993.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,650.31 : 649,502.45 = 255,790.38 : x
  2. Step 2: Convert to fraction form
    470,650.31/649,502.45 = 255,790.38/x
  3. Step 3: Cross multiply
    470,650.31x = 649,502.45 × 255,790.38
  4. Step 4: Simplify right side
    470,650.31x = 166,136,479,135.91
  5. Step 5: Solve for x
    x = 166,136,479,135.91/470,650.31
  6. Step 6: Final answer
    x = 352,993.46

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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.