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Finding the Fourth Proportional to 285,546.29, 394,048.01 and 158,220.77

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Solution

The fourth proportional to 285,546.29, 394,048.01 and 158,220.77 is: 218,341.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,546.29 : 394,048.01 = 158,220.77 : x
  2. Step 2: Convert to fraction form
    285,546.29/394,048.01 = 158,220.77/x
  3. Step 3: Cross multiply
    285,546.29x = 394,048.01 × 158,220.77
  4. Step 4: Simplify right side
    285,546.29x = 62,346,578,768.06
  5. Step 5: Solve for x
    x = 62,346,578,768.06/285,546.29
  6. Step 6: Final answer
    x = 218,341.41

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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.