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Finding the Fourth Proportional to 419,407.50, 628,488.96 and 308,055.18

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Solution

The fourth proportional to 419,407.50, 628,488.96 and 308,055.18 is: 461,625.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,407.50 : 628,488.96 = 308,055.18 : x
  2. Step 2: Convert to fraction form
    419,407.50/628,488.96 = 308,055.18/x
  3. Step 3: Cross multiply
    419,407.50x = 628,488.96 × 308,055.18
  4. Step 4: Simplify right side
    419,407.50x = 193,609,279,700.81
  5. Step 5: Solve for x
    x = 193,609,279,700.81/419,407.50
  6. Step 6: Final answer
    x = 461,625.70

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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.