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Finding the Fourth Proportional to 722,831.08, 997,479.94 and 416,920

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Solution

The fourth proportional to 722,831.08, 997,479.94 and 416,920 is: 575,334.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,831.08 : 997,479.94 = 416,920 : x
  2. Step 2: Convert to fraction form
    722,831.08/997,479.94 = 416,920/x
  3. Step 3: Cross multiply
    722,831.08x = 997,479.94 × 416,920
  4. Step 4: Simplify right side
    722,831.08x = 415,869,336,584.80
  5. Step 5: Solve for x
    x = 415,869,336,584.80/722,831.08
  6. Step 6: Final answer
    x = 575,334.06

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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.