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Finding the Fourth Proportional to 375,674.98, 518,430.39 and 205,908.58

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Solution

The fourth proportional to 375,674.98, 518,430.39 and 205,908.58 is: 284,153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,674.98 : 518,430.39 = 205,908.58 : x
  2. Step 2: Convert to fraction form
    375,674.98/518,430.39 = 205,908.58/x
  3. Step 3: Cross multiply
    375,674.98x = 518,430.39 × 205,908.58
  4. Step 4: Simplify right side
    375,674.98x = 106,749,265,433.75
  5. Step 5: Solve for x
    x = 106,749,265,433.75/375,674.98
  6. Step 6: Final answer
    x = 284,153.25

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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.