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Finding the Fourth Proportional to 416,521.98, 624,782.97 and 100,978.88

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Solution

The fourth proportional to 416,521.98, 624,782.97 and 100,978.88 is: 151,468.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,521.98 : 624,782.97 = 100,978.88 : x
  2. Step 2: Convert to fraction form
    416,521.98/624,782.97 = 100,978.88/x
  3. Step 3: Cross multiply
    416,521.98x = 624,782.97 × 100,978.88
  4. Step 4: Simplify right side
    416,521.98x = 63,089,881,429.76
  5. Step 5: Solve for x
    x = 63,089,881,429.76/416,521.98
  6. Step 6: Final answer
    x = 151,468.31

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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.