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Finding the Fourth Proportional to 375,451.86, 518,125.41 and 205,686.06

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Solution

The fourth proportional to 375,451.86, 518,125.41 and 205,686.06 is: 283,847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,451.86 : 518,125.41 = 205,686.06 : x
  2. Step 2: Convert to fraction form
    375,451.86/518,125.41 = 205,686.06/x
  3. Step 3: Cross multiply
    375,451.86x = 518,125.41 × 205,686.06
  4. Step 4: Simplify right side
    375,451.86x = 106,571,174,168.79
  5. Step 5: Solve for x
    x = 106,571,174,168.79/375,451.86
  6. Step 6: Final answer
    x = 283,847.77

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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.