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Finding the Fourth Proportional to 344,172.40, 516,142.16 and 130,889.64

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Solution

The fourth proportional to 344,172.40, 516,142.16 and 130,889.64 is: 196,290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,172.40 : 516,142.16 = 130,889.64 : x
  2. Step 2: Convert to fraction form
    344,172.40/516,142.16 = 130,889.64/x
  3. Step 3: Cross multiply
    344,172.40x = 516,142.16 × 130,889.64
  4. Step 4: Simplify right side
    344,172.40x = 67,557,661,511.22
  5. Step 5: Solve for x
    x = 67,557,661,511.22/344,172.40
  6. Step 6: Final answer
    x = 196,290.18

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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.