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Finding the Fourth Proportional to 447,271.76, 670,022.04 and 289,611.20

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Solution

The fourth proportional to 447,271.76, 670,022.04 and 289,611.20 is: 433,843.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,271.76 : 670,022.04 = 289,611.20 : x
  2. Step 2: Convert to fraction form
    447,271.76/670,022.04 = 289,611.20/x
  3. Step 3: Cross multiply
    447,271.76x = 670,022.04 × 289,611.20
  4. Step 4: Simplify right side
    447,271.76x = 194,045,887,030.85
  5. Step 5: Solve for x
    x = 194,045,887,030.85/447,271.76
  6. Step 6: Final answer
    x = 433,843.37

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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.