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Finding the Fourth Proportional to 294,002.64, 405,024.84 and 279,772.56

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Solution

The fourth proportional to 294,002.64, 405,024.84 and 279,772.56 is: 385,421.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,002.64 : 405,024.84 = 279,772.56 : x
  2. Step 2: Convert to fraction form
    294,002.64/405,024.84 = 279,772.56/x
  3. Step 3: Cross multiply
    294,002.64x = 405,024.84 × 279,772.56
  4. Step 4: Simplify right side
    294,002.64x = 113,314,836,350.39
  5. Step 5: Solve for x
    x = 113,314,836,350.39/294,002.64
  6. Step 6: Final answer
    x = 385,421.15

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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.