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Finding the Fourth Proportional to 469,322.56, 647,670.12 and 275,738.38

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Solution

The fourth proportional to 469,322.56, 647,670.12 and 275,738.38 is: 380,521.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,322.56 : 647,670.12 = 275,738.38 : x
  2. Step 2: Convert to fraction form
    469,322.56/647,670.12 = 275,738.38/x
  3. Step 3: Cross multiply
    469,322.56x = 647,670.12 × 275,738.38
  4. Step 4: Simplify right side
    469,322.56x = 178,587,509,663.21
  5. Step 5: Solve for x
    x = 178,587,509,663.21/469,322.56
  6. Step 6: Final answer
    x = 380,521.89

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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.