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Finding the Fourth Proportional to 443,434.26, 664,978.84 and 143,842.40

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Solution

The fourth proportional to 443,434.26, 664,978.84 and 143,842.40 is: 215,707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,434.26 : 664,978.84 = 143,842.40 : x
  2. Step 2: Convert to fraction form
    443,434.26/664,978.84 = 143,842.40/x
  3. Step 3: Cross multiply
    443,434.26x = 664,978.84 × 143,842.40
  4. Step 4: Simplify right side
    443,434.26x = 95,652,152,294.82
  5. Step 5: Solve for x
    x = 95,652,152,294.82/443,434.26
  6. Step 6: Final answer
    x = 215,707.63

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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.