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Finding the Fourth Proportional to 285,852.47, 394,469.48 and 156,792.65

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Solution

The fourth proportional to 285,852.47, 394,469.48 and 156,792.65 is: 216,370.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,852.47 : 394,469.48 = 156,792.65 : x
  2. Step 2: Convert to fraction form
    285,852.47/394,469.48 = 156,792.65/x
  3. Step 3: Cross multiply
    285,852.47x = 394,469.48 × 156,792.65
  4. Step 4: Simplify right side
    285,852.47x = 61,849,914,329.36
  5. Step 5: Solve for x
    x = 61,849,914,329.36/285,852.47
  6. Step 6: Final answer
    x = 216,370.05

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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.