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Finding the Fourth Proportional to 666,893.68, 920,313.16 and 360,970

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Solution

The fourth proportional to 666,893.68, 920,313.16 and 360,970 is: 498,138.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,893.68 : 920,313.16 = 360,970 : x
  2. Step 2: Convert to fraction form
    666,893.68/920,313.16 = 360,970/x
  3. Step 3: Cross multiply
    666,893.68x = 920,313.16 × 360,970
  4. Step 4: Simplify right side
    666,893.68x = 332,205,441,365.20
  5. Step 5: Solve for x
    x = 332,205,441,365.20/666,893.68
  6. Step 6: Final answer
    x = 498,138.54

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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.