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Finding the Fourth Proportional to 469,293.92, 648,160.08 and 318,128.48

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Solution

The fourth proportional to 469,293.92, 648,160.08 and 318,128.48 is: 439,379.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,293.92 : 648,160.08 = 318,128.48 : x
  2. Step 2: Convert to fraction form
    469,293.92/648,160.08 = 318,128.48/x
  3. Step 3: Cross multiply
    469,293.92x = 648,160.08 × 318,128.48
  4. Step 4: Simplify right side
    469,293.92x = 206,198,181,047.08
  5. Step 5: Solve for x
    x = 206,198,181,047.08/469,293.92
  6. Step 6: Final answer
    x = 439,379.61

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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.