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Finding the Fourth Proportional to 381,574.40, 572,361.60 and 241,491.20

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Solution

The fourth proportional to 381,574.40, 572,361.60 and 241,491.20 is: 362,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,574.40 : 572,361.60 = 241,491.20 : x
  2. Step 2: Convert to fraction form
    381,574.40/572,361.60 = 241,491.20/x
  3. Step 3: Cross multiply
    381,574.40x = 572,361.60 × 241,491.20
  4. Step 4: Simplify right side
    381,574.40x = 138,220,289,617.92
  5. Step 5: Solve for x
    x = 138,220,289,617.92/381,574.40
  6. Step 6: Final answer
    x = 362,236.80

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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.