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Finding the Fourth Proportional to 471,000.52, 649,651.26 and 309,804.04

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Solution

The fourth proportional to 471,000.52, 649,651.26 and 309,804.04 is: 427,312.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,000.52 : 649,651.26 = 309,804.04 : x
  2. Step 2: Convert to fraction form
    471,000.52/649,651.26 = 309,804.04/x
  3. Step 3: Cross multiply
    471,000.52x = 649,651.26 × 309,804.04
  4. Step 4: Simplify right side
    471,000.52x = 201,264,584,939.09
  5. Step 5: Solve for x
    x = 201,264,584,939.09/471,000.52
  6. Step 6: Final answer
    x = 427,312.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.