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Finding the Fourth Proportional to 388,038.48, 582,074.13 and 135,344.40

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Solution

The fourth proportional to 388,038.48, 582,074.13 and 135,344.40 is: 203,022.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,038.48 : 582,074.13 = 135,344.40 : x
  2. Step 2: Convert to fraction form
    388,038.48/582,074.13 = 135,344.40/x
  3. Step 3: Cross multiply
    388,038.48x = 582,074.13 × 135,344.40
  4. Step 4: Simplify right side
    388,038.48x = 78,780,473,880.37
  5. Step 5: Solve for x
    x = 78,780,473,880.37/388,038.48
  6. Step 6: Final answer
    x = 203,022.32

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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.