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Finding the Fourth Proportional to 470,507.95, 649,291.62 and 255,649.56

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Solution

The fourth proportional to 470,507.95, 649,291.62 and 255,649.56 is: 352,791.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,507.95 : 649,291.62 = 255,649.56 : x
  2. Step 2: Convert to fraction form
    470,507.95/649,291.62 = 255,649.56/x
  3. Step 3: Cross multiply
    470,507.95x = 649,291.62 × 255,649.56
  4. Step 4: Simplify right side
    470,507.95x = 165,991,116,964.69
  5. Step 5: Solve for x
    x = 165,991,116,964.69/470,507.95
  6. Step 6: Final answer
    x = 352,791.31

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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.