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Finding the Fourth Proportional to 469,854, 648,399.24 and 268,654.32

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Solution

The fourth proportional to 469,854, 648,399.24 and 268,654.32 is: 370,743.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,854 : 648,399.24 = 268,654.32 : x
  2. Step 2: Convert to fraction form
    469,854/648,399.24 = 268,654.32/x
  3. Step 3: Cross multiply
    469,854x = 648,399.24 × 268,654.32
  4. Step 4: Simplify right side
    469,854x = 174,195,256,910.72
  5. Step 5: Solve for x
    x = 174,195,256,910.72/469,854
  6. Step 6: Final answer
    x = 370,743.37

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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.