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Finding the Fourth Proportional to 419,458.59, 628,939.04 and 166,603.05

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Solution

The fourth proportional to 419,458.59, 628,939.04 and 166,603.05 is: 249,805.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,458.59 : 628,939.04 = 166,603.05 : x
  2. Step 2: Convert to fraction form
    419,458.59/628,939.04 = 166,603.05/x
  3. Step 3: Cross multiply
    419,458.59x = 628,939.04 × 166,603.05
  4. Step 4: Simplify right side
    419,458.59x = 104,783,161,495.06
  5. Step 5: Solve for x
    x = 104,783,161,495.06/419,458.59
  6. Step 6: Final answer
    x = 249,805.74

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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.