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Finding the Fourth Proportional to 470,313.90, 649,040.72 and 255,454.11

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Solution

The fourth proportional to 470,313.90, 649,040.72 and 255,454.11 is: 352,530.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,313.90 : 649,040.72 = 255,454.11 : x
  2. Step 2: Convert to fraction form
    470,313.90/649,040.72 = 255,454.11/x
  3. Step 3: Cross multiply
    470,313.90x = 649,040.72 × 255,454.11
  4. Step 4: Simplify right side
    470,313.90x = 165,800,118,204.09
  5. Step 5: Solve for x
    x = 165,800,118,204.09/470,313.90
  6. Step 6: Final answer
    x = 352,530.76

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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.