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Finding the Fourth Proportional to 375,385.86, 518,032.61 and 205,626.10

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Solution

The fourth proportional to 375,385.86, 518,032.61 and 205,626.10 is: 283,764.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,385.86 : 518,032.61 = 205,626.10 : x
  2. Step 2: Convert to fraction form
    375,385.86/518,032.61 = 205,626.10/x
  3. Step 3: Cross multiply
    375,385.86x = 518,032.61 × 205,626.10
  4. Step 4: Simplify right side
    375,385.86x = 106,521,025,267.12
  5. Step 5: Solve for x
    x = 106,521,025,267.12/375,385.86
  6. Step 6: Final answer
    x = 283,764.09

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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.