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Finding the Fourth Proportional to 401,816.40, 602,724.60 and 313,136.26

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Solution

The fourth proportional to 401,816.40, 602,724.60 and 313,136.26 is: 469,704.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,816.40 : 602,724.60 = 313,136.26 : x
  2. Step 2: Convert to fraction form
    401,816.40/602,724.60 = 313,136.26/x
  3. Step 3: Cross multiply
    401,816.40x = 602,724.60 × 313,136.26
  4. Step 4: Simplify right side
    401,816.40x = 188,734,927,054.00
  5. Step 5: Solve for x
    x = 188,734,927,054.00/401,816.40
  6. Step 6: Final answer
    x = 469,704.39

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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.