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Finding the Fourth Proportional to 382,038.54, 527,190.03 and 212,266.86

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Solution

The fourth proportional to 382,038.54, 527,190.03 and 212,266.86 is: 292,915.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,038.54 : 527,190.03 = 212,266.86 : x
  2. Step 2: Convert to fraction form
    382,038.54/527,190.03 = 212,266.86/x
  3. Step 3: Cross multiply
    382,038.54x = 527,190.03 × 212,266.86
  4. Step 4: Simplify right side
    382,038.54x = 111,904,972,291.41
  5. Step 5: Solve for x
    x = 111,904,972,291.41/382,038.54
  6. Step 6: Final answer
    x = 292,915.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.