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Finding the Fourth Proportional to 431,190.05, 646,929 and 191,270.84

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Solution

The fourth proportional to 431,190.05, 646,929 and 191,270.84 is: 286,970.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,190.05 : 646,929 = 191,270.84 : x
  2. Step 2: Convert to fraction form
    431,190.05/646,929 = 191,270.84/x
  3. Step 3: Cross multiply
    431,190.05x = 646,929 × 191,270.84
  4. Step 4: Simplify right side
    431,190.05x = 123,738,650,015.72
  5. Step 5: Solve for x
    x = 123,738,650,015.72/431,190.05
  6. Step 6: Final answer
    x = 286,970.10

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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.