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Finding the Fourth Proportional to 304,825.53, 420,864.63 and 190,278.57

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Solution

The fourth proportional to 304,825.53, 420,864.63 and 190,278.57 is: 262,712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,825.53 : 420,864.63 = 190,278.57 : x
  2. Step 2: Convert to fraction form
    304,825.53/420,864.63 = 190,278.57/x
  3. Step 3: Cross multiply
    304,825.53x = 420,864.63 × 190,278.57
  4. Step 4: Simplify right side
    304,825.53x = 80,081,519,959.98
  5. Step 5: Solve for x
    x = 80,081,519,959.98/304,825.53
  6. Step 6: Final answer
    x = 262,712.64

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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.