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Finding the Fourth Proportional to 380,254.88, 570,943.04 and 212,103.74

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Solution

The fourth proportional to 380,254.88, 570,943.04 and 212,103.74 is: 318,468.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,254.88 : 570,943.04 = 212,103.74 : x
  2. Step 2: Convert to fraction form
    380,254.88/570,943.04 = 212,103.74/x
  3. Step 3: Cross multiply
    380,254.88x = 570,943.04 × 212,103.74
  4. Step 4: Simplify right side
    380,254.88x = 121,099,150,195.74
  5. Step 5: Solve for x
    x = 121,099,150,195.74/380,254.88
  6. Step 6: Final answer
    x = 318,468.37

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1.5x scale

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.