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Finding the Fourth Proportional to 388,054.88, 582,457.70 and 280,095.54

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Solution

The fourth proportional to 388,054.88, 582,457.70 and 280,095.54 is: 420,414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,054.88 : 582,457.70 = 280,095.54 : x
  2. Step 2: Convert to fraction form
    388,054.88/582,457.70 = 280,095.54/x
  3. Step 3: Cross multiply
    388,054.88x = 582,457.70 × 280,095.54
  4. Step 4: Simplify right side
    388,054.88x = 163,143,804,708.90
  5. Step 5: Solve for x
    x = 163,143,804,708.90/388,054.88
  6. Step 6: Final answer
    x = 420,414.26

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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.