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Finding the Fourth Proportional to 291,094.93, 401,578.25 and 210,394.63

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Solution

The fourth proportional to 291,094.93, 401,578.25 and 210,394.63 is: 290,248.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,094.93 : 401,578.25 = 210,394.63 : x
  2. Step 2: Convert to fraction form
    291,094.93/401,578.25 = 210,394.63/x
  3. Step 3: Cross multiply
    291,094.93x = 401,578.25 × 210,394.63
  4. Step 4: Simplify right side
    291,094.93x = 84,489,907,324.80
  5. Step 5: Solve for x
    x = 84,489,907,324.80/291,094.93
  6. Step 6: Final answer
    x = 290,248.64

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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.