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Finding the Fourth Proportional to 400,304.34, 552,419.35 and 219,017

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Solution

The fourth proportional to 400,304.34, 552,419.35 and 219,017 is: 302,243.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,304.34 : 552,419.35 = 219,017 : x
  2. Step 2: Convert to fraction form
    400,304.34/552,419.35 = 219,017/x
  3. Step 3: Cross multiply
    400,304.34x = 552,419.35 × 219,017
  4. Step 4: Simplify right side
    400,304.34x = 120,989,227,683.87
  5. Step 5: Solve for x
    x = 120,989,227,683.87/400,304.34
  6. Step 6: Final answer
    x = 302,243.11

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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.