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Finding the Fourth Proportional to 375,521.76, 518,268.24 and 214,339.86

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Solution

The fourth proportional to 375,521.76, 518,268.24 and 214,339.86 is: 295,816.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,521.76 : 518,268.24 = 214,339.86 : x
  2. Step 2: Convert to fraction form
    375,521.76/518,268.24 = 214,339.86/x
  3. Step 3: Cross multiply
    375,521.76x = 518,268.24 × 214,339.86
  4. Step 4: Simplify right side
    375,521.76x = 111,085,542,004.05
  5. Step 5: Solve for x
    x = 111,085,542,004.05/375,521.76
  6. Step 6: Final answer
    x = 295,816.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.