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Finding the Fourth Proportional to 286,070.94, 394,734.06 and 171,322.70

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Solution

The fourth proportional to 286,070.94, 394,734.06 and 171,322.70 is: 236,399.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,070.94 : 394,734.06 = 171,322.70 : x
  2. Step 2: Convert to fraction form
    286,070.94/394,734.06 = 171,322.70/x
  3. Step 3: Cross multiply
    286,070.94x = 394,734.06 × 171,322.70
  4. Step 4: Simplify right side
    286,070.94x = 67,626,902,967.49
  5. Step 5: Solve for x
    x = 67,626,902,967.49/286,070.94
  6. Step 6: Final answer
    x = 236,399.07

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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.