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Finding the Fourth Proportional to 393,472, 542,991.36 and 214,624

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Solution

The fourth proportional to 393,472, 542,991.36 and 214,624 is: 296,181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,472 : 542,991.36 = 214,624 : x
  2. Step 2: Convert to fraction form
    393,472/542,991.36 = 214,624/x
  3. Step 3: Cross multiply
    393,472x = 542,991.36 × 214,624
  4. Step 4: Simplify right side
    393,472x = 116,538,977,648.64
  5. Step 5: Solve for x
    x = 116,538,977,648.64/393,472
  6. Step 6: Final answer
    x = 296,181.12

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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.