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Finding the Fourth Proportional to 356,521.77, 491,985.95 and 213,196.41

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Solution

The fourth proportional to 356,521.77, 491,985.95 and 213,196.41 is: 294,202.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,521.77 : 491,985.95 = 213,196.41 : x
  2. Step 2: Convert to fraction form
    356,521.77/491,985.95 = 213,196.41/x
  3. Step 3: Cross multiply
    356,521.77x = 491,985.95 × 213,196.41
  4. Step 4: Simplify right side
    356,521.77x = 104,889,637,244.46
  5. Step 5: Solve for x
    x = 104,889,637,244.46/356,521.77
  6. Step 6: Final answer
    x = 294,202.62

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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.