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Finding the Fourth Proportional to 443,611.68, 665,989.59 and 380,835.24

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Solution

The fourth proportional to 443,611.68, 665,989.59 and 380,835.24 is: 571,743.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,611.68 : 665,989.59 = 380,835.24 : x
  2. Step 2: Convert to fraction form
    443,611.68/665,989.59 = 380,835.24/x
  3. Step 3: Cross multiply
    443,611.68x = 665,989.59 × 380,835.24
  4. Step 4: Simplify right side
    443,611.68x = 253,632,305,345.15
  5. Step 5: Solve for x
    x = 253,632,305,345.15/443,611.68
  6. Step 6: Final answer
    x = 571,743.98

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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.