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Finding the Fourth Proportional to 388,334.40, 582,520.80 and 201,710.40

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Solution

The fourth proportional to 388,334.40, 582,520.80 and 201,710.40 is: 302,575.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,334.40 : 582,520.80 = 201,710.40 : x
  2. Step 2: Convert to fraction form
    388,334.40/582,520.80 = 201,710.40/x
  3. Step 3: Cross multiply
    388,334.40x = 582,520.80 × 201,710.40
  4. Step 4: Simplify right side
    388,334.40x = 117,500,503,576.32
  5. Step 5: Solve for x
    x = 117,500,503,576.32/388,334.40
  6. Step 6: Final answer
    x = 302,575.57

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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.