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Finding the Fourth Proportional to 419,962.60, 629,943.90 and 260,165.80

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Solution

The fourth proportional to 419,962.60, 629,943.90 and 260,165.80 is: 390,248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,962.60 : 629,943.90 = 260,165.80 : x
  2. Step 2: Convert to fraction form
    419,962.60/629,943.90 = 260,165.80/x
  3. Step 3: Cross multiply
    419,962.60x = 629,943.90 × 260,165.80
  4. Step 4: Simplify right side
    419,962.60x = 163,889,858,698.62
  5. Step 5: Solve for x
    x = 163,889,858,698.62/419,962.60
  6. Step 6: Final answer
    x = 390,248.70

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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.