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Finding the Fourth Proportional to 301,042.68, 415,458.10 and 198,888.93

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Solution

The fourth proportional to 301,042.68, 415,458.10 and 198,888.93 is: 274,479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,042.68 : 415,458.10 = 198,888.93 : x
  2. Step 2: Convert to fraction form
    301,042.68/415,458.10 = 198,888.93/x
  3. Step 3: Cross multiply
    301,042.68x = 415,458.10 × 198,888.93
  4. Step 4: Simplify right side
    301,042.68x = 82,630,016,968.83
  5. Step 5: Solve for x
    x = 82,630,016,968.83/301,042.68
  6. Step 6: Final answer
    x = 274,479.41

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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.