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Finding the Fourth Proportional to 210,328.29, 290,264.85 and 114,843.87

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Solution

The fourth proportional to 210,328.29, 290,264.85 and 114,843.87 is: 158,490.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,328.29 : 290,264.85 = 114,843.87 : x
  2. Step 2: Convert to fraction form
    210,328.29/290,264.85 = 114,843.87/x
  3. Step 3: Cross multiply
    210,328.29x = 290,264.85 × 114,843.87
  4. Step 4: Simplify right side
    210,328.29x = 33,335,138,698.97
  5. Step 5: Solve for x
    x = 33,335,138,698.97/210,328.29
  6. Step 6: Final answer
    x = 158,490.99

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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.