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Finding the Fourth Proportional to 493,586.31, 681,254.38 and 338,749.45

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Solution

The fourth proportional to 493,586.31, 681,254.38 and 338,749.45 is: 467,546.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,586.31 : 681,254.38 = 338,749.45 : x
  2. Step 2: Convert to fraction form
    493,586.31/681,254.38 = 338,749.45/x
  3. Step 3: Cross multiply
    493,586.31x = 681,254.38 × 338,749.45
  4. Step 4: Simplify right side
    493,586.31x = 230,774,546,535.09
  5. Step 5: Solve for x
    x = 230,774,546,535.09/493,586.31
  6. Step 6: Final answer
    x = 467,546.49

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1.5x scale

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.