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Finding the Fourth Proportional to 281,018.64, 387,851.63 and 208,900.56

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Solution

The fourth proportional to 281,018.64, 387,851.63 and 208,900.56 is: 288,316.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,018.64 : 387,851.63 = 208,900.56 : x
  2. Step 2: Convert to fraction form
    281,018.64/387,851.63 = 208,900.56/x
  3. Step 3: Cross multiply
    281,018.64x = 387,851.63 × 208,900.56
  4. Step 4: Simplify right side
    281,018.64x = 81,022,421,286.91
  5. Step 5: Solve for x
    x = 81,022,421,286.91/281,018.64
  6. Step 6: Final answer
    x = 288,316.90

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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.