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Finding the Fourth Proportional to 404,839.20, 607,431.60 and 194,368.80

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Solution

The fourth proportional to 404,839.20, 607,431.60 and 194,368.80 is: 291,636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,839.20 : 607,431.60 = 194,368.80 : x
  2. Step 2: Convert to fraction form
    404,839.20/607,431.60 = 194,368.80/x
  3. Step 3: Cross multiply
    404,839.20x = 607,431.60 × 194,368.80
  4. Step 4: Simplify right side
    404,839.20x = 118,065,751,174.08
  5. Step 5: Solve for x
    x = 118,065,751,174.08/404,839.20
  6. Step 6: Final answer
    x = 291,636.16

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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.