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Finding the Fourth Proportional to 311,435.34, 467,185.68 and 142,926.90

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Solution

The fourth proportional to 311,435.34, 467,185.68 and 142,926.90 is: 214,405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,435.34 : 467,185.68 = 142,926.90 : x
  2. Step 2: Convert to fraction form
    311,435.34/467,185.68 = 142,926.90/x
  3. Step 3: Cross multiply
    311,435.34x = 467,185.68 × 142,926.90
  4. Step 4: Simplify right side
    311,435.34x = 66,773,400,966.79
  5. Step 5: Solve for x
    x = 66,773,400,966.79/311,435.34
  6. Step 6: Final answer
    x = 214,405.34

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1.5x scale

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.