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Finding the Fourth Proportional to 395,428.70, 545,688.90 and 214,136.48

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Solution

The fourth proportional to 395,428.70, 545,688.90 and 214,136.48 is: 295,506.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,428.70 : 545,688.90 = 214,136.48 : x
  2. Step 2: Convert to fraction form
    395,428.70/545,688.90 = 214,136.48/x
  3. Step 3: Cross multiply
    395,428.70x = 545,688.90 × 214,136.48
  4. Step 4: Simplify right side
    395,428.70x = 116,851,900,221.07
  5. Step 5: Solve for x
    x = 116,851,900,221.07/395,428.70
  6. Step 6: Final answer
    x = 295,506.88

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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.