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Finding the Fourth Proportional to 470,497.92, 649,316.16 and 269,289.60

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Solution

The fourth proportional to 470,497.92, 649,316.16 and 269,289.60 is: 371,636.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,497.92 : 649,316.16 = 269,289.60 : x
  2. Step 2: Convert to fraction form
    470,497.92/649,316.16 = 269,289.60/x
  3. Step 3: Cross multiply
    470,497.92x = 649,316.16 × 269,289.60
  4. Step 4: Simplify right side
    470,497.92x = 174,854,088,999.94
  5. Step 5: Solve for x
    x = 174,854,088,999.94/470,497.92
  6. Step 6: Final answer
    x = 371,636.26

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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.