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Finding the Fourth Proportional to 306,053.40, 422,393.16 and 171,943.32

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Solution

The fourth proportional to 306,053.40, 422,393.16 and 171,943.32 is: 237,303.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,053.40 : 422,393.16 = 171,943.32 : x
  2. Step 2: Convert to fraction form
    306,053.40/422,393.16 = 171,943.32/x
  3. Step 3: Cross multiply
    306,053.40x = 422,393.16 × 171,943.32
  4. Step 4: Simplify right side
    306,053.40x = 72,627,682,275.69
  5. Step 5: Solve for x
    x = 72,627,682,275.69/306,053.40
  6. Step 6: Final answer
    x = 237,303.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.