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Finding the Fourth Proportional to 470,405.97, 649,165.77 and 255,549.42

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Solution

The fourth proportional to 470,405.97, 649,165.77 and 255,549.42 is: 352,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,405.97 : 649,165.77 = 255,549.42 : x
  2. Step 2: Convert to fraction form
    470,405.97/649,165.77 = 255,549.42/x
  3. Step 3: Cross multiply
    470,405.97x = 649,165.77 × 255,549.42
  4. Step 4: Simplify right side
    470,405.97x = 165,893,936,007.35
  5. Step 5: Solve for x
    x = 165,893,936,007.35/470,405.97
  6. Step 6: Final answer
    x = 352,661.20

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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.