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Finding the Fourth Proportional to 356,521.52, 491,985.60 and 213,196.16

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Solution

The fourth proportional to 356,521.52, 491,985.60 and 213,196.16 is: 294,202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,521.52 : 491,985.60 = 213,196.16 : x
  2. Step 2: Convert to fraction form
    356,521.52/491,985.60 = 213,196.16/x
  3. Step 3: Cross multiply
    356,521.52x = 491,985.60 × 213,196.16
  4. Step 4: Simplify right side
    356,521.52x = 104,889,440,695.30
  5. Step 5: Solve for x
    x = 104,889,440,695.30/356,521.52
  6. Step 6: Final answer
    x = 294,202.27

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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.