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Finding the Fourth Proportional to 392,955, 542,277.93 and 214,107

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Solution

The fourth proportional to 392,955, 542,277.93 and 214,107 is: 295,467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,955 : 542,277.93 = 214,107 : x
  2. Step 2: Convert to fraction form
    392,955/542,277.93 = 214,107/x
  3. Step 3: Cross multiply
    392,955x = 542,277.93 × 214,107
  4. Step 4: Simplify right side
    392,955x = 116,105,500,758.51
  5. Step 5: Solve for x
    x = 116,105,500,758.51/392,955
  6. Step 6: Final answer
    x = 295,467.68

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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.