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Finding the Fourth Proportional to 665,336.85, 996,857.10 and 309,621.30

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Solution

The fourth proportional to 665,336.85, 996,857.10 and 309,621.30 is: 463,897.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,336.85 : 996,857.10 = 309,621.30 : x
  2. Step 2: Convert to fraction form
    665,336.85/996,857.10 = 309,621.30/x
  3. Step 3: Cross multiply
    665,336.85x = 996,857.10 × 309,621.30
  4. Step 4: Simplify right side
    665,336.85x = 308,648,191,216.23
  5. Step 5: Solve for x
    x = 308,648,191,216.23/665,336.85
  6. Step 6: Final answer
    x = 463,897.64

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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.