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Finding the Fourth Proportional to 304,092.66, 419,555.76 and 212,209.50

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Solution

The fourth proportional to 304,092.66, 419,555.76 and 212,209.50 is: 292,784.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,092.66 : 419,555.76 = 212,209.50 : x
  2. Step 2: Convert to fraction form
    304,092.66/419,555.76 = 212,209.50/x
  3. Step 3: Cross multiply
    304,092.66x = 419,555.76 × 212,209.50
  4. Step 4: Simplify right side
    304,092.66x = 89,033,718,051.72
  5. Step 5: Solve for x
    x = 89,033,718,051.72/304,092.66
  6. Step 6: Final answer
    x = 292,784.83

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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.