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Finding the Fourth Proportional to 419,820.60, 629,730.90 and 170,681.40

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Solution

The fourth proportional to 419,820.60, 629,730.90 and 170,681.40 is: 256,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,820.60 : 629,730.90 = 170,681.40 : x
  2. Step 2: Convert to fraction form
    419,820.60/629,730.90 = 170,681.40/x
  3. Step 3: Cross multiply
    419,820.60x = 629,730.90 × 170,681.40
  4. Step 4: Simplify right side
    419,820.60x = 107,483,351,635.26
  5. Step 5: Solve for x
    x = 107,483,351,635.26/419,820.60
  6. Step 6: Final answer
    x = 256,022.10

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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.