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Finding the Fourth Proportional to 419,936.60, 629,904.90 and 260,139.80

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Solution

The fourth proportional to 419,936.60, 629,904.90 and 260,139.80 is: 390,209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,936.60 : 629,904.90 = 260,139.80 : x
  2. Step 2: Convert to fraction form
    419,936.60/629,904.90 = 260,139.80/x
  3. Step 3: Cross multiply
    419,936.60x = 629,904.90 × 260,139.80
  4. Step 4: Simplify right side
    419,936.60x = 163,863,334,705.02
  5. Step 5: Solve for x
    x = 163,863,334,705.02/419,936.60
  6. Step 6: Final answer
    x = 390,209.70

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1.5x scale

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.