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Finding the Fourth Proportional to 286,123.96, 394,846.14 and 158,804.92

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Solution

The fourth proportional to 286,123.96, 394,846.14 and 158,804.92 is: 219,148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,123.96 : 394,846.14 = 158,804.92 : x
  2. Step 2: Convert to fraction form
    286,123.96/394,846.14 = 158,804.92/x
  3. Step 3: Cross multiply
    286,123.96x = 394,846.14 × 158,804.92
  4. Step 4: Simplify right side
    286,123.96x = 62,703,509,675.01
  5. Step 5: Solve for x
    x = 62,703,509,675.01/286,123.96
  6. Step 6: Final answer
    x = 219,148.06

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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.