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Finding the Fourth Proportional to 210,442.84, 290,410.80 and 114,949.56

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Solution

The fourth proportional to 210,442.84, 290,410.80 and 114,949.56 is: 158,630.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,442.84 : 290,410.80 = 114,949.56 : x
  2. Step 2: Convert to fraction form
    210,442.84/290,410.80 = 114,949.56/x
  3. Step 3: Cross multiply
    210,442.84x = 290,410.80 × 114,949.56
  4. Step 4: Simplify right side
    210,442.84x = 33,382,593,679.25
  5. Step 5: Solve for x
    x = 33,382,593,679.25/210,442.84
  6. Step 6: Final answer
    x = 158,630.22

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1.5x scale

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.