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Finding the Fourth Proportional to 301,814.56, 415,976.88 and 221,070.52

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Solution

The fourth proportional to 301,814.56, 415,976.88 and 221,070.52 is: 304,691.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,814.56 : 415,976.88 = 221,070.52 : x
  2. Step 2: Convert to fraction form
    301,814.56/415,976.88 = 221,070.52/x
  3. Step 3: Cross multiply
    301,814.56x = 415,976.88 × 221,070.52
  4. Step 4: Simplify right side
    301,814.56x = 91,960,225,169.58
  5. Step 5: Solve for x
    x = 91,960,225,169.58/301,814.56
  6. Step 6: Final answer
    x = 304,691.15

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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.