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Finding the Fourth Proportional to 419,420.84, 628,570.14 and 152,930.60

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Solution

The fourth proportional to 419,420.84, 628,570.14 and 152,930.60 is: 229,191.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,420.84 : 628,570.14 = 152,930.60 : x
  2. Step 2: Convert to fraction form
    419,420.84/628,570.14 = 152,930.60/x
  3. Step 3: Cross multiply
    419,420.84x = 628,570.14 × 152,930.60
  4. Step 4: Simplify right side
    419,420.84x = 96,127,608,652.28
  5. Step 5: Solve for x
    x = 96,127,608,652.28/419,420.84
  6. Step 6: Final answer
    x = 229,191.30

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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.