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Finding the Fourth Proportional to 470,999, 649,978.62 and 269,807.96

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Solution

The fourth proportional to 470,999, 649,978.62 and 269,807.96 is: 372,334.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,999 : 649,978.62 = 269,807.96 : x
  2. Step 2: Convert to fraction form
    470,999/649,978.62 = 269,807.96/x
  3. Step 3: Cross multiply
    470,999x = 649,978.62 × 269,807.96
  4. Step 4: Simplify right side
    470,999x = 175,369,405,505.82
  5. Step 5: Solve for x
    x = 175,369,405,505.82/470,999
  6. Step 6: Final answer
    x = 372,334.98

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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.