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Finding the Fourth Proportional to 431,328.80, 646,839.60 and 194,784.80

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Solution

The fourth proportional to 431,328.80, 646,839.60 and 194,784.80 is: 292,107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,328.80 : 646,839.60 = 194,784.80 : x
  2. Step 2: Convert to fraction form
    431,328.80/646,839.60 = 194,784.80/x
  3. Step 3: Cross multiply
    431,328.80x = 646,839.60 × 194,784.80
  4. Step 4: Simplify right side
    431,328.80x = 125,994,522,118.08
  5. Step 5: Solve for x
    x = 125,994,522,118.08/431,328.80
  6. Step 6: Final answer
    x = 292,107.84

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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.