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Finding the Fourth Proportional to 419,909.60, 629,864.40 and 260,112.80

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Solution

The fourth proportional to 419,909.60, 629,864.40 and 260,112.80 is: 390,169.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,909.60 : 629,864.40 = 260,112.80 : x
  2. Step 2: Convert to fraction form
    419,909.60/629,864.40 = 260,112.80/x
  3. Step 3: Cross multiply
    419,909.60x = 629,864.40 × 260,112.80
  4. Step 4: Simplify right side
    419,909.60x = 163,835,792,704.32
  5. Step 5: Solve for x
    x = 163,835,792,704.32/419,909.60
  6. Step 6: Final answer
    x = 390,169.20

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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.