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Finding the Fourth Proportional to 353,514.77, 487,765.31 and 208,326.48

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Solution

The fourth proportional to 353,514.77, 487,765.31 and 208,326.48 is: 287,440.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,514.77 : 487,765.31 = 208,326.48 : x
  2. Step 2: Convert to fraction form
    353,514.77/487,765.31 = 208,326.48/x
  3. Step 3: Cross multiply
    353,514.77x = 487,765.31 × 208,326.48
  4. Step 4: Simplify right side
    353,514.77x = 101,614,429,056.78
  5. Step 5: Solve for x
    x = 101,614,429,056.78/353,514.77
  6. Step 6: Final answer
    x = 287,440.41

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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.