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Finding the Fourth Proportional to 393,375, 542,857.56 and 214,527

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Solution

The fourth proportional to 393,375, 542,857.56 and 214,527 is: 296,047.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,375 : 542,857.56 = 214,527 : x
  2. Step 2: Convert to fraction form
    393,375/542,857.56 = 214,527/x
  3. Step 3: Cross multiply
    393,375x = 542,857.56 × 214,527
  4. Step 4: Simplify right side
    393,375x = 116,457,603,774.12
  5. Step 5: Solve for x
    x = 116,457,603,774.12/393,375
  6. Step 6: Final answer
    x = 296,047.29

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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.