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Finding the Fourth Proportional to 382,952.64, 528,474.42 and 213,226.86

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Solution

The fourth proportional to 382,952.64, 528,474.42 and 213,226.86 is: 294,252.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,952.64 : 528,474.42 = 213,226.86 : x
  2. Step 2: Convert to fraction form
    382,952.64/528,474.42 = 213,226.86/x
  3. Step 3: Cross multiply
    382,952.64x = 528,474.42 × 213,226.86
  4. Step 4: Simplify right side
    382,952.64x = 112,684,941,166.92
  5. Step 5: Solve for x
    x = 112,684,941,166.92/382,952.64
  6. Step 6: Final answer
    x = 294,252.94

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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.