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Finding the Fourth Proportional to 286,225.74, 394,952.40 and 171,478.71

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Solution

The fourth proportional to 286,225.74, 394,952.40 and 171,478.71 is: 236,617.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,225.74 : 394,952.40 = 171,478.71 : x
  2. Step 2: Convert to fraction form
    286,225.74/394,952.40 = 171,478.71/x
  3. Step 3: Cross multiply
    286,225.74x = 394,952.40 × 171,478.71
  4. Step 4: Simplify right side
    286,225.74x = 67,725,928,063.40
  5. Step 5: Solve for x
    x = 67,725,928,063.40/286,225.74
  6. Step 6: Final answer
    x = 236,617.18

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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.