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Finding the Fourth Proportional to 470,494, 649,282.56 and 255,634.32

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Solution

The fourth proportional to 470,494, 649,282.56 and 255,634.32 is: 352,775.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,494 : 649,282.56 = 255,634.32 : x
  2. Step 2: Convert to fraction form
    470,494/649,282.56 = 255,634.32/x
  3. Step 3: Cross multiply
    470,494x = 649,282.56 × 255,634.32
  4. Step 4: Simplify right side
    470,494x = 165,978,905,713.46
  5. Step 5: Solve for x
    x = 165,978,905,713.46/470,494
  6. Step 6: Final answer
    x = 352,775.82

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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.