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Finding the Fourth Proportional to 304,784.55, 420,808.22 and 190,237.70

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Solution

The fourth proportional to 304,784.55, 420,808.22 and 190,237.70 is: 262,656.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,784.55 : 420,808.22 = 190,237.70 : x
  2. Step 2: Convert to fraction form
    304,784.55/420,808.22 = 190,237.70/x
  3. Step 3: Cross multiply
    304,784.55x = 420,808.22 × 190,237.70
  4. Step 4: Simplify right side
    304,784.55x = 80,053,584,858.66
  5. Step 5: Solve for x
    x = 80,053,584,858.66/304,784.55
  6. Step 6: Final answer
    x = 262,656.31

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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.