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Finding the Fourth Proportional to 375,599.52, 518,331.42 and 205,830

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Solution

The fourth proportional to 375,599.52, 518,331.42 and 205,830 is: 284,047.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,599.52 : 518,331.42 = 205,830 : x
  2. Step 2: Convert to fraction form
    375,599.52/518,331.42 = 205,830/x
  3. Step 3: Cross multiply
    375,599.52x = 518,331.42 × 205,830
  4. Step 4: Simplify right side
    375,599.52x = 106,688,156,178.60
  5. Step 5: Solve for x
    x = 106,688,156,178.60/375,599.52
  6. Step 6: Final answer
    x = 284,047.64

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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.