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Finding the Fourth Proportional to 419,580.70, 628,629.90 and 405,705.40

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Solution

The fourth proportional to 419,580.70, 628,629.90 and 405,705.40 is: 607,841.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,580.70 : 628,629.90 = 405,705.40 : x
  2. Step 2: Convert to fraction form
    419,580.70/628,629.90 = 405,705.40/x
  3. Step 3: Cross multiply
    419,580.70x = 628,629.90 × 405,705.40
  4. Step 4: Simplify right side
    419,580.70x = 255,038,545,031.46
  5. Step 5: Solve for x
    x = 255,038,545,031.46/419,580.70
  6. Step 6: Final answer
    x = 607,841.46

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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.