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Finding the Fourth Proportional to 469,719.70, 648,212.28 and 254,859.70

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Solution

The fourth proportional to 469,719.70, 648,212.28 and 254,859.70 is: 351,705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,719.70 : 648,212.28 = 254,859.70 : x
  2. Step 2: Convert to fraction form
    469,719.70/648,212.28 = 254,859.70/x
  3. Step 3: Cross multiply
    469,719.70x = 648,212.28 × 254,859.70
  4. Step 4: Simplify right side
    469,719.70x = 165,203,187,217.12
  5. Step 5: Solve for x
    x = 165,203,187,217.12/469,719.70
  6. Step 6: Final answer
    x = 351,705.89

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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.