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Finding the Fourth Proportional to 357,980.27, 536,942.30 and 208,125

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Solution

The fourth proportional to 357,980.27, 536,942.30 and 208,125 is: 312,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,980.27 : 536,942.30 = 208,125 : x
  2. Step 2: Convert to fraction form
    357,980.27/536,942.30 = 208,125/x
  3. Step 3: Cross multiply
    357,980.27x = 536,942.30 × 208,125
  4. Step 4: Simplify right side
    357,980.27x = 111,751,115,146.88
  5. Step 5: Solve for x
    x = 111,751,115,146.88/357,980.27
  6. Step 6: Final answer
    x = 312,171.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.