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Finding the Fourth Proportional to 469,825.38, 648,363.78 and 254,967.30

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Solution

The fourth proportional to 469,825.38, 648,363.78 and 254,967.30 is: 351,857.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,825.38 : 648,363.78 = 254,967.30 : x
  2. Step 2: Convert to fraction form
    469,825.38/648,363.78 = 254,967.30/x
  3. Step 3: Cross multiply
    469,825.38x = 648,363.78 × 254,967.30
  4. Step 4: Simplify right side
    469,825.38x = 165,311,562,404.39
  5. Step 5: Solve for x
    x = 165,311,562,404.39/469,825.38
  6. Step 6: Final answer
    x = 351,857.45

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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.