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Finding the Fourth Proportional to 210,858.39, 290,984.40 and 115,365.47

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Solution

The fourth proportional to 210,858.39, 290,984.40 and 115,365.47 is: 159,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,858.39 : 290,984.40 = 115,365.47 : x
  2. Step 2: Convert to fraction form
    210,858.39/290,984.40 = 115,365.47/x
  3. Step 3: Cross multiply
    210,858.39x = 290,984.40 × 115,365.47
  4. Step 4: Simplify right side
    210,858.39x = 33,569,550,613.75
  5. Step 5: Solve for x
    x = 33,569,550,613.75/210,858.39
  6. Step 6: Final answer
    x = 159,204.24

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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.