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Finding the Fourth Proportional to 311,018.94, 466,525.35 and 142,491.47

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Solution

The fourth proportional to 311,018.94, 466,525.35 and 142,491.47 is: 213,735.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,018.94 : 466,525.35 = 142,491.47 : x
  2. Step 2: Convert to fraction form
    311,018.94/466,525.35 = 142,491.47/x
  3. Step 3: Cross multiply
    311,018.94x = 466,525.35 × 142,491.47
  4. Step 4: Simplify right side
    311,018.94x = 66,475,880,581.14
  5. Step 5: Solve for x
    x = 66,475,880,581.14/311,018.94
  6. Step 6: Final answer
    x = 213,735.80

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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.