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Finding the Fourth Proportional to 470,645.31, 649,495.54 and 255,785.38

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Solution

The fourth proportional to 470,645.31, 649,495.54 and 255,785.38 is: 352,986.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,645.31 : 649,495.54 = 255,785.38 : x
  2. Step 2: Convert to fraction form
    470,645.31/649,495.54 = 255,785.38/x
  3. Step 3: Cross multiply
    470,645.31x = 649,495.54 × 255,785.38
  4. Step 4: Simplify right side
    470,645.31x = 166,131,463,507.21
  5. Step 5: Solve for x
    x = 166,131,463,507.21/470,645.31
  6. Step 6: Final answer
    x = 352,986.55

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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.