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Finding the Fourth Proportional to 416,419.70, 624,367.10 and 353,261.97

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Solution

The fourth proportional to 416,419.70, 624,367.10 and 353,261.97 is: 529,670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,419.70 : 624,367.10 = 353,261.97 : x
  2. Step 2: Convert to fraction form
    416,419.70/624,367.10 = 353,261.97/x
  3. Step 3: Cross multiply
    416,419.70x = 624,367.10 × 353,261.97
  4. Step 4: Simplify right side
    416,419.70x = 220,565,152,632.34
  5. Step 5: Solve for x
    x = 220,565,152,632.34/416,419.70
  6. Step 6: Final answer
    x = 529,670.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.