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Finding the Fourth Proportional to 649,462, 973,337.64 and 275,021.68

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Solution

The fourth proportional to 649,462, 973,337.64 and 275,021.68 is: 412,170.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,462 : 973,337.64 = 275,021.68 : x
  2. Step 2: Convert to fraction form
    649,462/973,337.64 = 275,021.68/x
  3. Step 3: Cross multiply
    649,462x = 973,337.64 × 275,021.68
  4. Step 4: Simplify right side
    649,462x = 267,688,952,960.04
  5. Step 5: Solve for x
    x = 267,688,952,960.04/649,462
  6. Step 6: Final answer
    x = 412,170.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.