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Finding the Fourth Proportional to 375,597.52, 518,328.66 and 205,828

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Solution

The fourth proportional to 375,597.52, 518,328.66 and 205,828 is: 284,044.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,597.52 : 518,328.66 = 205,828 : x
  2. Step 2: Convert to fraction form
    375,597.52/518,328.66 = 205,828/x
  3. Step 3: Cross multiply
    375,597.52x = 518,328.66 × 205,828
  4. Step 4: Simplify right side
    375,597.52x = 106,686,551,430.48
  5. Step 5: Solve for x
    x = 106,686,551,430.48/375,597.52
  6. Step 6: Final answer
    x = 284,044.88

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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.