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Finding the Fourth Proportional to 315,889.20, 435,787.14 and 188,491.14

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Solution

The fourth proportional to 315,889.20, 435,787.14 and 188,491.14 is: 260,034.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,889.20 : 435,787.14 = 188,491.14 : x
  2. Step 2: Convert to fraction form
    315,889.20/435,787.14 = 188,491.14/x
  3. Step 3: Cross multiply
    315,889.20x = 435,787.14 × 188,491.14
  4. Step 4: Simplify right side
    315,889.20x = 82,142,014,815.94
  5. Step 5: Solve for x
    x = 82,142,014,815.94/315,889.20
  6. Step 6: Final answer
    x = 260,034.26

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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.