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Finding the Fourth Proportional to 356,307, 491,689.26 and 213,146.16

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Solution

The fourth proportional to 356,307, 491,689.26 and 213,146.16 is: 294,133.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,307 : 491,689.26 = 213,146.16 : x
  2. Step 2: Convert to fraction form
    356,307/491,689.26 = 213,146.16/x
  3. Step 3: Cross multiply
    356,307x = 491,689.26 × 213,146.16
  4. Step 4: Simplify right side
    356,307x = 104,801,677,682.24
  5. Step 5: Solve for x
    x = 104,801,677,682.24/356,307
  6. Step 6: Final answer
    x = 294,133.09

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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.