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Finding the Fourth Proportional to 419,333.76, 628,907.76 and 134,948.16

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Solution

The fourth proportional to 419,333.76, 628,907.76 and 134,948.16 is: 202,392.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,333.76 : 628,907.76 = 134,948.16 : x
  2. Step 2: Convert to fraction form
    419,333.76/628,907.76 = 134,948.16/x
  3. Step 3: Cross multiply
    419,333.76x = 628,907.76 × 134,948.16
  4. Step 4: Simplify right side
    419,333.76x = 84,869,945,021.72
  5. Step 5: Solve for x
    x = 84,869,945,021.72/419,333.76
  6. Step 6: Final answer
    x = 202,392.35

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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.