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Finding the Fourth Proportional to 431,370.40, 646,940.40 and 150,858.40

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Solution

The fourth proportional to 431,370.40, 646,940.40 and 150,858.40 is: 226,247.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,370.40 : 646,940.40 = 150,858.40 : x
  2. Step 2: Convert to fraction form
    431,370.40/646,940.40 = 150,858.40/x
  3. Step 3: Cross multiply
    431,370.40x = 646,940.40 × 150,858.40
  4. Step 4: Simplify right side
    431,370.40x = 97,596,393,639.36
  5. Step 5: Solve for x
    x = 97,596,393,639.36/431,370.40
  6. Step 6: Final answer
    x = 226,247.31

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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.