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Finding the Fourth Proportional to 485,268.48, 669,728.64 and 284,064

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Solution

The fourth proportional to 485,268.48, 669,728.64 and 284,064 is: 392,042.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,268.48 : 669,728.64 = 284,064 : x
  2. Step 2: Convert to fraction form
    485,268.48/669,728.64 = 284,064/x
  3. Step 3: Cross multiply
    485,268.48x = 669,728.64 × 284,064
  4. Step 4: Simplify right side
    485,268.48x = 190,245,796,392.96
  5. Step 5: Solve for x
    x = 190,245,796,392.96/485,268.48
  6. Step 6: Final answer
    x = 392,042.35

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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.