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Finding the Fourth Proportional to 431,192.05, 646,932 and 191,272.84

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Solution

The fourth proportional to 431,192.05, 646,932 and 191,272.84 is: 286,973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,192.05 : 646,932 = 191,272.84 : x
  2. Step 2: Convert to fraction form
    431,192.05/646,932 = 191,272.84/x
  3. Step 3: Cross multiply
    431,192.05x = 646,932 × 191,272.84
  4. Step 4: Simplify right side
    431,192.05x = 123,740,520,926.88
  5. Step 5: Solve for x
    x = 123,740,520,926.88/431,192.05
  6. Step 6: Final answer
    x = 286,973.10

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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.