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Finding the Fourth Proportional to 315,717.36, 435,705.52 and 179,754

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Solution

The fourth proportional to 315,717.36, 435,705.52 and 179,754 is: 248,069.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,717.36 : 435,705.52 = 179,754 : x
  2. Step 2: Convert to fraction form
    315,717.36/435,705.52 = 179,754/x
  3. Step 3: Cross multiply
    315,717.36x = 435,705.52 × 179,754
  4. Step 4: Simplify right side
    315,717.36x = 78,319,810,042.08
  5. Step 5: Solve for x
    x = 78,319,810,042.08/315,717.36
  6. Step 6: Final answer
    x = 248,069.38

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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.