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Finding the Fourth Proportional to 470,242.74, 649,203.98 and 309,564.88

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Solution

The fourth proportional to 470,242.74, 649,203.98 and 309,564.88 is: 427,376.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,242.74 : 649,203.98 = 309,564.88 : x
  2. Step 2: Convert to fraction form
    470,242.74/649,203.98 = 309,564.88/x
  3. Step 3: Cross multiply
    470,242.74x = 649,203.98 × 309,564.88
  4. Step 4: Simplify right side
    470,242.74x = 200,970,748,993.39
  5. Step 5: Solve for x
    x = 200,970,748,993.39/470,242.74
  6. Step 6: Final answer
    x = 427,376.61

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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.