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Finding the Fourth Proportional to 368,141.88, 508,033.26 and 209,165.88

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Solution

The fourth proportional to 368,141.88, 508,033.26 and 209,165.88 is: 288,647.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,141.88 : 508,033.26 = 209,165.88 : x
  2. Step 2: Convert to fraction form
    368,141.88/508,033.26 = 209,165.88/x
  3. Step 3: Cross multiply
    368,141.88x = 508,033.26 × 209,165.88
  4. Step 4: Simplify right side
    368,141.88x = 106,263,223,897.17
  5. Step 5: Solve for x
    x = 106,263,223,897.17/368,141.88
  6. Step 6: Final answer
    x = 288,647.47

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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.