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Finding the Fourth Proportional to 348,327.84, 523,672.84 and 278,147.01

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Solution

The fourth proportional to 348,327.84, 523,672.84 and 278,147.01 is: 418,163.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,327.84 : 523,672.84 = 278,147.01 : x
  2. Step 2: Convert to fraction form
    348,327.84/523,672.84 = 278,147.01/x
  3. Step 3: Cross multiply
    348,327.84x = 523,672.84 × 278,147.01
  4. Step 4: Simplify right side
    348,327.84x = 145,658,034,664.21
  5. Step 5: Solve for x
    x = 145,658,034,664.21/348,327.84
  6. Step 6: Final answer
    x = 418,163.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.