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Finding the Fourth Proportional to 304,476.80, 455,840.40 and 186,378.80

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Solution

The fourth proportional to 304,476.80, 455,840.40 and 186,378.80 is: 279,032.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,476.80 : 455,840.40 = 186,378.80 : x
  2. Step 2: Convert to fraction form
    304,476.80/455,840.40 = 186,378.80/x
  3. Step 3: Cross multiply
    304,476.80x = 455,840.40 × 186,378.80
  4. Step 4: Simplify right side
    304,476.80x = 84,958,986,743.52
  5. Step 5: Solve for x
    x = 84,958,986,743.52/304,476.80
  6. Step 6: Final answer
    x = 279,032.71

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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.