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Finding the Fourth Proportional to 471,003.96, 649,656.14 and 309,807.48

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Solution

The fourth proportional to 471,003.96, 649,656.14 and 309,807.48 is: 427,317.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,003.96 : 649,656.14 = 309,807.48 : x
  2. Step 2: Convert to fraction form
    471,003.96/649,656.14 = 309,807.48/x
  3. Step 3: Cross multiply
    471,003.96x = 649,656.14 × 309,807.48
  4. Step 4: Simplify right side
    471,003.96x = 201,268,330,050.89
  5. Step 5: Solve for x
    x = 201,268,330,050.89/471,003.96
  6. Step 6: Final answer
    x = 427,317.70

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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.