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Finding the Fourth Proportional to 419,116.83, 628,681.02 and 119,597.32

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Solution

The fourth proportional to 419,116.83, 628,681.02 and 119,597.32 is: 179,397.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,116.83 : 628,681.02 = 119,597.32 : x
  2. Step 2: Convert to fraction form
    419,116.83/628,681.02 = 119,597.32/x
  3. Step 3: Cross multiply
    419,116.83x = 628,681.02 × 119,597.32
  4. Step 4: Simplify right side
    419,116.83x = 75,188,565,126.87
  5. Step 5: Solve for x
    x = 75,188,565,126.87/419,116.83
  6. Step 6: Final answer
    x = 179,397.63

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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.