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Finding the Fourth Proportional to 470,646.30, 649,496.92 and 255,786.38

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Solution

The fourth proportional to 470,646.30, 649,496.92 and 255,786.38 is: 352,987.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,646.30 : 649,496.92 = 255,786.38 : x
  2. Step 2: Convert to fraction form
    470,646.30/649,496.92 = 255,786.38/x
  3. Step 3: Cross multiply
    470,646.30x = 649,496.92 × 255,786.38
  4. Step 4: Simplify right side
    470,646.30x = 166,132,465,987.95
  5. Step 5: Solve for x
    x = 166,132,465,987.95/470,646.30
  6. Step 6: Final answer
    x = 352,987.94

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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.