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Finding the Fourth Proportional to 210,309.14, 290,230.80 and 114,816.20

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Solution

The fourth proportional to 210,309.14, 290,230.80 and 114,816.20 is: 158,448.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,309.14 : 290,230.80 = 114,816.20 : x
  2. Step 2: Convert to fraction form
    210,309.14/290,230.80 = 114,816.20/x
  3. Step 3: Cross multiply
    210,309.14x = 290,230.80 × 114,816.20
  4. Step 4: Simplify right side
    210,309.14x = 33,323,197,578.96
  5. Step 5: Solve for x
    x = 33,323,197,578.96/210,309.14
  6. Step 6: Final answer
    x = 158,448.64

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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.