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Finding the Fourth Proportional to 431,191.05, 646,930.50 and 191,271.84

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Solution

The fourth proportional to 431,191.05, 646,930.50 and 191,271.84 is: 286,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,191.05 : 646,930.50 = 191,271.84 : x
  2. Step 2: Convert to fraction form
    431,191.05/646,930.50 = 191,271.84/x
  3. Step 3: Cross multiply
    431,191.05x = 646,930.50 × 191,271.84
  4. Step 4: Simplify right side
    431,191.05x = 123,739,587,087.12
  5. Step 5: Solve for x
    x = 123,739,587,087.12/431,191.05
  6. Step 6: Final answer
    x = 286,971.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.