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Finding the Fourth Proportional to 375,422.24, 518,078.43 and 203,336.93

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Solution

The fourth proportional to 375,422.24, 518,078.43 and 203,336.93 is: 280,602.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,422.24 : 518,078.43 = 203,336.93 : x
  2. Step 2: Convert to fraction form
    375,422.24/518,078.43 = 203,336.93/x
  3. Step 3: Cross multiply
    375,422.24x = 518,078.43 × 203,336.93
  4. Step 4: Simplify right side
    375,422.24x = 105,344,478,750.62
  5. Step 5: Solve for x
    x = 105,344,478,750.62/375,422.24
  6. Step 6: Final answer
    x = 280,602.66

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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.