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Finding the Fourth Proportional to 375,937.30, 518,745.51 and 214,802.78

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Solution

The fourth proportional to 375,937.30, 518,745.51 and 214,802.78 is: 296,400.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,937.30 : 518,745.51 = 214,802.78 : x
  2. Step 2: Convert to fraction form
    375,937.30/518,745.51 = 214,802.78/x
  3. Step 3: Cross multiply
    375,937.30x = 518,745.51 × 214,802.78
  4. Step 4: Simplify right side
    375,937.30x = 111,427,978,957.38
  5. Step 5: Solve for x
    x = 111,427,978,957.38/375,937.30
  6. Step 6: Final answer
    x = 296,400.44

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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.