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Finding the Fourth Proportional to 353,488, 487,813.44 and 194,512

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Solution

The fourth proportional to 353,488, 487,813.44 and 194,512 is: 268,426.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,488 : 487,813.44 = 194,512 : x
  2. Step 2: Convert to fraction form
    353,488/487,813.44 = 194,512/x
  3. Step 3: Cross multiply
    353,488x = 487,813.44 × 194,512
  4. Step 4: Simplify right side
    353,488x = 94,885,567,841.28
  5. Step 5: Solve for x
    x = 94,885,567,841.28/353,488
  6. Step 6: Final answer
    x = 268,426.56

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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.