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Finding the Fourth Proportional to 286,134, 394,864.92 and 158,810.51

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Solution

The fourth proportional to 286,134, 394,864.92 and 158,810.51 is: 219,158.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,134 : 394,864.92 = 158,810.51 : x
  2. Step 2: Convert to fraction form
    286,134/394,864.92 = 158,810.51/x
  3. Step 3: Cross multiply
    286,134x = 394,864.92 × 158,810.51
  4. Step 4: Simplify right side
    286,134x = 62,708,697,351.98
  5. Step 5: Solve for x
    x = 62,708,697,351.98/286,134
  6. Step 6: Final answer
    x = 219,158.50

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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.