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Finding the Fourth Proportional to 382,809.60, 528,272.05 and 213,043.73

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Solution

The fourth proportional to 382,809.60, 528,272.05 and 213,043.73 is: 293,997.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,809.60 : 528,272.05 = 213,043.73 : x
  2. Step 2: Convert to fraction form
    382,809.60/528,272.05 = 213,043.73/x
  3. Step 3: Cross multiply
    382,809.60x = 528,272.05 × 213,043.73
  4. Step 4: Simplify right side
    382,809.60x = 112,545,047,986.75
  5. Step 5: Solve for x
    x = 112,545,047,986.75/382,809.60
  6. Step 6: Final answer
    x = 293,997.45

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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.