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Finding the Fourth Proportional to 301,042.80, 415,458.27 and 198,889.07

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Solution

The fourth proportional to 301,042.80, 415,458.27 and 198,889.07 is: 274,479.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,042.80 : 415,458.27 = 198,889.07 : x
  2. Step 2: Convert to fraction form
    301,042.80/415,458.27 = 198,889.07/x
  3. Step 3: Cross multiply
    301,042.80x = 415,458.27 × 198,889.07
  4. Step 4: Simplify right side
    301,042.80x = 82,630,106,866.82
  5. Step 5: Solve for x
    x = 82,630,106,866.82/301,042.80
  6. Step 6: Final answer
    x = 274,479.60

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1.5x scale

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.