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Finding the Fourth Proportional to 419,705.40, 629,711.70 and 170,412.60

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Solution

The fourth proportional to 419,705.40, 629,711.70 and 170,412.60 is: 255,681.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,705.40 : 629,711.70 = 170,412.60 : x
  2. Step 2: Convert to fraction form
    419,705.40/629,711.70 = 170,412.60/x
  3. Step 3: Cross multiply
    419,705.40x = 629,711.70 × 170,412.60
  4. Step 4: Simplify right side
    419,705.40x = 107,310,808,047.42
  5. Step 5: Solve for x
    x = 107,310,808,047.42/419,705.40
  6. Step 6: Final answer
    x = 255,681.27

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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.