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Finding the Fourth Proportional to 470,998.50, 649,977.93 and 269,807.46

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Solution

The fourth proportional to 470,998.50, 649,977.93 and 269,807.46 is: 372,334.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,998.50 : 649,977.93 = 269,807.46 : x
  2. Step 2: Convert to fraction form
    470,998.50/649,977.93 = 269,807.46/x
  3. Step 3: Cross multiply
    470,998.50x = 649,977.93 × 269,807.46
  4. Step 4: Simplify right side
    470,998.50x = 175,368,894,349.36
  5. Step 5: Solve for x
    x = 175,368,894,349.36/470,998.50
  6. Step 6: Final answer
    x = 372,334.29

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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.