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Finding the Fourth Proportional to 315,718.36, 435,706.90 and 179,755

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Solution

The fourth proportional to 315,718.36, 435,706.90 and 179,755 is: 248,070.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,718.36 : 435,706.90 = 179,755 : x
  2. Step 2: Convert to fraction form
    315,718.36/435,706.90 = 179,755/x
  3. Step 3: Cross multiply
    315,718.36x = 435,706.90 × 179,755
  4. Step 4: Simplify right side
    315,718.36x = 78,320,493,809.50
  5. Step 5: Solve for x
    x = 78,320,493,809.50/315,718.36
  6. Step 6: Final answer
    x = 248,070.76

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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.