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Finding the Fourth Proportional to 395,096.23, 545,232.78 and 213,808.16

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Solution

The fourth proportional to 395,096.23, 545,232.78 and 213,808.16 is: 295,055.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,096.23 : 545,232.78 = 213,808.16 : x
  2. Step 2: Convert to fraction form
    395,096.23/545,232.78 = 213,808.16/x
  3. Step 3: Cross multiply
    395,096.23x = 545,232.78 × 213,808.16
  4. Step 4: Simplify right side
    395,096.23x = 116,575,214,737.32
  5. Step 5: Solve for x
    x = 116,575,214,737.32/395,096.23
  6. Step 6: Final answer
    x = 295,055.25

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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.