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Finding the Fourth Proportional to 285,921.95, 394,572.68 and 158,597.54

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Solution

The fourth proportional to 285,921.95, 394,572.68 and 158,597.54 is: 218,864.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,921.95 : 394,572.68 = 158,597.54 : x
  2. Step 2: Convert to fraction form
    285,921.95/394,572.68 = 158,597.54/x
  3. Step 3: Cross multiply
    285,921.95x = 394,572.68 × 158,597.54
  4. Step 4: Simplify right side
    285,921.95x = 62,578,253,633.36
  5. Step 5: Solve for x
    x = 62,578,253,633.36/285,921.95
  6. Step 6: Final answer
    x = 218,864.82

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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.