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Finding the Fourth Proportional to 210,649.41, 290,218.14 and 159,736.05

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Solution

The fourth proportional to 210,649.41, 290,218.14 and 159,736.05 is: 220,073.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,649.41 : 290,218.14 = 159,736.05 : x
  2. Step 2: Convert to fraction form
    210,649.41/290,218.14 = 159,736.05/x
  3. Step 3: Cross multiply
    210,649.41x = 290,218.14 × 159,736.05
  4. Step 4: Simplify right side
    210,649.41x = 46,358,299,321.95
  5. Step 5: Solve for x
    x = 46,358,299,321.95/210,649.41
  6. Step 6: Final answer
    x = 220,073.25

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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.