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Finding the Fourth Proportional to 356,308, 491,690.64 and 213,147.16

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Solution

The fourth proportional to 356,308, 491,690.64 and 213,147.16 is: 294,134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,308 : 491,690.64 = 213,147.16 : x
  2. Step 2: Convert to fraction form
    356,308/491,690.64 = 213,147.16/x
  3. Step 3: Cross multiply
    356,308x = 491,690.64 × 213,147.16
  4. Step 4: Simplify right side
    356,308x = 104,802,463,514.58
  5. Step 5: Solve for x
    x = 104,802,463,514.58/356,308
  6. Step 6: Final answer
    x = 294,134.47

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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.