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Finding the Fourth Proportional to 470,362.32, 649,369.24 and 309,684.44

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Solution

The fourth proportional to 470,362.32, 649,369.24 and 309,684.44 is: 427,541.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,362.32 : 649,369.24 = 309,684.44 : x
  2. Step 2: Convert to fraction form
    470,362.32/649,369.24 = 309,684.44/x
  3. Step 3: Cross multiply
    470,362.32x = 649,369.24 × 309,684.44
  4. Step 4: Simplify right side
    470,362.32x = 201,099,549,442.63
  5. Step 5: Solve for x
    x = 201,099,549,442.63/470,362.32
  6. Step 6: Final answer
    x = 427,541.79

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1.5x scale

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.