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Finding the Fourth Proportional to 443,602.21, 665,975.35 and 380,825.74

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Solution

The fourth proportional to 443,602.21, 665,975.35 and 380,825.74 is: 571,729.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,602.21 : 665,975.35 = 380,825.74 : x
  2. Step 2: Convert to fraction form
    443,602.21/665,975.35 = 380,825.74/x
  3. Step 3: Cross multiply
    443,602.21x = 665,975.35 × 380,825.74
  4. Step 4: Simplify right side
    443,602.21x = 253,620,555,485.51
  5. Step 5: Solve for x
    x = 253,620,555,485.51/443,602.21
  6. Step 6: Final answer
    x = 571,729.69

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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.