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Finding the Fourth Proportional to 210,588.40, 290,410.88 and 137,882.80

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Solution

The fourth proportional to 210,588.40, 290,410.88 and 137,882.80 is: 190,146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,588.40 : 290,410.88 = 137,882.80 : x
  2. Step 2: Convert to fraction form
    210,588.40/290,410.88 = 137,882.80/x
  3. Step 3: Cross multiply
    210,588.40x = 290,410.88 × 137,882.80
  4. Step 4: Simplify right side
    210,588.40x = 40,042,665,284.86
  5. Step 5: Solve for x
    x = 40,042,665,284.86/210,588.40
  6. Step 6: Final answer
    x = 190,146.59

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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.