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Finding the Fourth Proportional to 399,271.40, 598,907.10 and 199,622.60

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Solution

The fourth proportional to 399,271.40, 598,907.10 and 199,622.60 is: 299,433.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,271.40 : 598,907.10 = 199,622.60 : x
  2. Step 2: Convert to fraction form
    399,271.40/598,907.10 = 199,622.60/x
  3. Step 3: Cross multiply
    399,271.40x = 598,907.10 × 199,622.60
  4. Step 4: Simplify right side
    399,271.40x = 119,555,392,460.46
  5. Step 5: Solve for x
    x = 119,555,392,460.46/399,271.40
  6. Step 6: Final answer
    x = 299,433.90

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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.