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Finding the Fourth Proportional to 382,989.73, 528,445.68 and 221,835.16

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Solution

The fourth proportional to 382,989.73, 528,445.68 and 221,835.16 is: 306,086.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,989.73 : 528,445.68 = 221,835.16 : x
  2. Step 2: Convert to fraction form
    382,989.73/528,445.68 = 221,835.16/x
  3. Step 3: Cross multiply
    382,989.73x = 528,445.68 × 221,835.16
  4. Step 4: Simplify right side
    382,989.73x = 117,227,831,974.11
  5. Step 5: Solve for x
    x = 117,227,831,974.11/382,989.73
  6. Step 6: Final answer
    x = 306,086.10

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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.