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Finding the Fourth Proportional to 375,774.32, 518,562.60 and 206,009.60

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Solution

The fourth proportional to 375,774.32, 518,562.60 and 206,009.60 is: 284,289.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,774.32 : 518,562.60 = 206,009.60 : x
  2. Step 2: Convert to fraction form
    375,774.32/518,562.60 = 206,009.60/x
  3. Step 3: Cross multiply
    375,774.32x = 518,562.60 × 206,009.60
  4. Step 4: Simplify right side
    375,774.32x = 106,828,873,800.96
  5. Step 5: Solve for x
    x = 106,828,873,800.96/375,774.32
  6. Step 6: Final answer
    x = 284,289.98

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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.