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Finding the Fourth Proportional to 285,630.76, 394,142.88 and 158,303.80

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Solution

The fourth proportional to 285,630.76, 394,142.88 and 158,303.80 is: 218,443.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,630.76 : 394,142.88 = 158,303.80 : x
  2. Step 2: Convert to fraction form
    285,630.76/394,142.88 = 158,303.80/x
  3. Step 3: Cross multiply
    285,630.76x = 394,142.88 × 158,303.80
  4. Step 4: Simplify right side
    285,630.76x = 62,394,315,646.94
  5. Step 5: Solve for x
    x = 62,394,315,646.94/285,630.76
  6. Step 6: Final answer
    x = 218,443.96

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1.5x scale

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.