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Finding the Fourth Proportional to 722,081.86, 996,340.16 and 416,115.34

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Solution

The fourth proportional to 722,081.86, 996,340.16 and 416,115.34 is: 574,162.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,081.86 : 996,340.16 = 416,115.34 : x
  2. Step 2: Convert to fraction form
    722,081.86/996,340.16 = 416,115.34/x
  3. Step 3: Cross multiply
    722,081.86x = 996,340.16 × 416,115.34
  4. Step 4: Simplify right side
    722,081.86x = 414,592,424,434.05
  5. Step 5: Solve for x
    x = 414,592,424,434.05/722,081.86
  6. Step 6: Final answer
    x = 574,162.64

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Double scale
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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.