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Finding the Fourth Proportional to 470,360.32, 649,366.47 and 309,682.44

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Solution

The fourth proportional to 470,360.32, 649,366.47 and 309,682.44 is: 427,539.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,360.32 : 649,366.47 = 309,682.44 : x
  2. Step 2: Convert to fraction form
    470,360.32/649,366.47 = 309,682.44/x
  3. Step 3: Cross multiply
    470,360.32x = 649,366.47 × 309,682.44
  4. Step 4: Simplify right side
    470,360.32x = 201,097,392,883.79
  5. Step 5: Solve for x
    x = 201,097,392,883.79/470,360.32
  6. Step 6: Final answer
    x = 427,539.03

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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.