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Finding the Fourth Proportional to 210,859.39, 290,985.78 and 115,366.47

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Solution

The fourth proportional to 210,859.39, 290,985.78 and 115,366.47 is: 159,205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,859.39 : 290,985.78 = 115,366.47 : x
  2. Step 2: Convert to fraction form
    210,859.39/290,985.78 = 115,366.47/x
  3. Step 3: Cross multiply
    210,859.39x = 290,985.78 × 115,366.47
  4. Step 4: Simplify right side
    210,859.39x = 33,570,002,258.80
  5. Step 5: Solve for x
    x = 33,570,002,258.80/210,859.39
  6. Step 6: Final answer
    x = 159,205.63

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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.