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Finding the Fourth Proportional to 493,696.08, 680,790.96 and 422,312.40

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Solution

The fourth proportional to 493,696.08, 680,790.96 and 422,312.40 is: 582,355.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,696.08 : 680,790.96 = 422,312.40 : x
  2. Step 2: Convert to fraction form
    493,696.08/680,790.96 = 422,312.40/x
  3. Step 3: Cross multiply
    493,696.08x = 680,790.96 × 422,312.40
  4. Step 4: Simplify right side
    493,696.08x = 287,506,464,215.90
  5. Step 5: Solve for x
    x = 287,506,464,215.90/493,696.08
  6. Step 6: Final answer
    x = 582,355.17

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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.