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Finding the Fourth Proportional to 357,998.31, 536,969.25 and 208,143

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Solution

The fourth proportional to 357,998.31, 536,969.25 and 208,143 is: 312,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,998.31 : 536,969.25 = 208,143 : x
  2. Step 2: Convert to fraction form
    357,998.31/536,969.25 = 208,143/x
  3. Step 3: Cross multiply
    357,998.31x = 536,969.25 × 208,143
  4. Step 4: Simplify right side
    357,998.31x = 111,766,390,602.75
  5. Step 5: Solve for x
    x = 111,766,390,602.75/357,998.31
  6. Step 6: Final answer
    x = 312,198.10

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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.