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Finding the Fourth Proportional to 283,470.70, 424,622.85 and 143,308.30

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Solution

The fourth proportional to 283,470.70, 424,622.85 and 143,308.30 is: 214,667.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,470.70 : 424,622.85 = 143,308.30 : x
  2. Step 2: Convert to fraction form
    283,470.70/424,622.85 = 143,308.30/x
  3. Step 3: Cross multiply
    283,470.70x = 424,622.85 × 143,308.30
  4. Step 4: Simplify right side
    283,470.70x = 60,851,978,774.66
  5. Step 5: Solve for x
    x = 60,851,978,774.66/283,470.70
  6. Step 6: Final answer
    x = 214,667.61

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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.