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Finding the Fourth Proportional to 382,848.50, 528,330.94 and 213,078.98

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Solution

The fourth proportional to 382,848.50, 528,330.94 and 213,078.98 is: 294,049.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,848.50 : 528,330.94 = 213,078.98 : x
  2. Step 2: Convert to fraction form
    382,848.50/528,330.94 = 213,078.98/x
  3. Step 3: Cross multiply
    382,848.50x = 528,330.94 × 213,078.98
  4. Step 4: Simplify right side
    382,848.50x = 112,576,217,797.64
  5. Step 5: Solve for x
    x = 112,576,217,797.64/382,848.50
  6. Step 6: Final answer
    x = 294,049.00

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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.