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Finding the Fourth Proportional to 419,954.60, 629,931.90 and 170,815.40

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Solution

The fourth proportional to 419,954.60, 629,931.90 and 170,815.40 is: 256,223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,954.60 : 629,931.90 = 170,815.40 : x
  2. Step 2: Convert to fraction form
    419,954.60/629,931.90 = 170,815.40/x
  3. Step 3: Cross multiply
    419,954.60x = 629,931.90 × 170,815.40
  4. Step 4: Simplify right side
    419,954.60x = 107,602,069,471.26
  5. Step 5: Solve for x
    x = 107,602,069,471.26/419,954.60
  6. Step 6: Final answer
    x = 256,223.10

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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.