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Finding the Fourth Proportional to 470,542.71, 649,352.84 and 255,682.78

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Solution

The fourth proportional to 470,542.71, 649,352.84 and 255,682.78 is: 352,844.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,542.71 : 649,352.84 = 255,682.78 : x
  2. Step 2: Convert to fraction form
    470,542.71/649,352.84 = 255,682.78/x
  3. Step 3: Cross multiply
    470,542.71x = 649,352.84 × 255,682.78
  4. Step 4: Simplify right side
    470,542.71x = 166,028,337,976.07
  5. Step 5: Solve for x
    x = 166,028,337,976.07/470,542.71
  6. Step 6: Final answer
    x = 352,844.35

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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.