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Finding the Fourth Proportional to 340,935.20, 511,633.20 and 191,175.20

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Solution

The fourth proportional to 340,935.20, 511,633.20 and 191,175.20 is: 286,891.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,935.20 : 511,633.20 = 191,175.20 : x
  2. Step 2: Convert to fraction form
    340,935.20/511,633.20 = 191,175.20/x
  3. Step 3: Cross multiply
    340,935.20x = 511,633.20 × 191,175.20
  4. Step 4: Simplify right side
    340,935.20x = 97,811,579,336.64
  5. Step 5: Solve for x
    x = 97,811,579,336.64/340,935.20
  6. Step 6: Final answer
    x = 286,891.99

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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.