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Finding the Fourth Proportional to 285,698.40, 394,237.28 and 158,363.16

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Solution

The fourth proportional to 285,698.40, 394,237.28 and 158,363.16 is: 218,526.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,698.40 : 394,237.28 = 158,363.16 : x
  2. Step 2: Convert to fraction form
    285,698.40/394,237.28 = 158,363.16/x
  3. Step 3: Cross multiply
    285,698.40x = 394,237.28 × 158,363.16
  4. Step 4: Simplify right side
    285,698.40x = 62,432,661,450.60
  5. Step 5: Solve for x
    x = 62,432,661,450.60/285,698.40
  6. Step 6: Final answer
    x = 218,526.47

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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.