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Finding the Fourth Proportional to 375,464.86, 518,143.35 and 205,699.06

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Solution

The fourth proportional to 375,464.86, 518,143.35 and 205,699.06 is: 283,865.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,464.86 : 518,143.35 = 205,699.06 : x
  2. Step 2: Convert to fraction form
    375,464.86/518,143.35 = 205,699.06/x
  3. Step 3: Cross multiply
    375,464.86x = 518,143.35 × 205,699.06
  4. Step 4: Simplify right side
    375,464.86x = 106,581,600,040.25
  5. Step 5: Solve for x
    x = 106,581,600,040.25/375,464.86
  6. Step 6: Final answer
    x = 283,865.71

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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.