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Finding the Fourth Proportional to 470,576, 649,482.36 and 269,372

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Solution

The fourth proportional to 470,576, 649,482.36 and 269,372 is: 371,783.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,576 : 649,482.36 = 269,372 : x
  2. Step 2: Convert to fraction form
    470,576/649,482.36 = 269,372/x
  3. Step 3: Cross multiply
    470,576x = 649,482.36 × 269,372
  4. Step 4: Simplify right side
    470,576x = 174,952,362,277.92
  5. Step 5: Solve for x
    x = 174,952,362,277.92/470,576
  6. Step 6: Final answer
    x = 371,783.44

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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.