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Finding the Fourth Proportional to 439,602.56, 659,396.64 and 140,079.12

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Solution

The fourth proportional to 439,602.56, 659,396.64 and 140,079.12 is: 210,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,602.56 : 659,396.64 = 140,079.12 : x
  2. Step 2: Convert to fraction form
    439,602.56/659,396.64 = 140,079.12/x
  3. Step 3: Cross multiply
    439,602.56x = 659,396.64 × 140,079.12
  4. Step 4: Simplify right side
    439,602.56x = 92,367,701,062.16
  5. Step 5: Solve for x
    x = 92,367,701,062.16/439,602.56
  6. Step 6: Final answer
    x = 210,116.39

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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.