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Finding the Fourth Proportional to 294,818, 442,231.80 and 84,455.12

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Solution

The fourth proportional to 294,818, 442,231.80 and 84,455.12 is: 126,684.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,818 : 442,231.80 = 84,455.12 : x
  2. Step 2: Convert to fraction form
    294,818/442,231.80 = 84,455.12/x
  3. Step 3: Cross multiply
    294,818x = 442,231.80 × 84,455.12
  4. Step 4: Simplify right side
    294,818x = 37,348,739,736.82
  5. Step 5: Solve for x
    x = 37,348,739,736.82/294,818
  6. Step 6: Final answer
    x = 126,684.06

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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.