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Finding the Fourth Proportional to 493,194.24, 680,608.32 and 342,378.72

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Solution

The fourth proportional to 493,194.24, 680,608.32 and 342,378.72 is: 472,482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,194.24 : 680,608.32 = 342,378.72 : x
  2. Step 2: Convert to fraction form
    493,194.24/680,608.32 = 342,378.72/x
  3. Step 3: Cross multiply
    493,194.24x = 680,608.32 × 342,378.72
  4. Step 4: Simplify right side
    493,194.24x = 233,025,805,422.95
  5. Step 5: Solve for x
    x = 233,025,805,422.95/493,194.24
  6. Step 6: Final answer
    x = 472,482.82

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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.