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Finding the Fourth Proportional to 395,644.55, 545,988.75 and 214,361.11

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Solution

The fourth proportional to 395,644.55, 545,988.75 and 214,361.11 is: 295,817.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,644.55 : 545,988.75 = 214,361.11 : x
  2. Step 2: Convert to fraction form
    395,644.55/545,988.75 = 214,361.11/x
  3. Step 3: Cross multiply
    395,644.55x = 545,988.75 × 214,361.11
  4. Step 4: Simplify right side
    395,644.55x = 117,038,754,497.51
  5. Step 5: Solve for x
    x = 117,038,754,497.51/395,644.55
  6. Step 6: Final answer
    x = 295,817.94

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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.