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Finding the Fourth Proportional to 286,012.84, 394,697.78 and 158,688.13

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Solution

The fourth proportional to 286,012.84, 394,697.78 and 158,688.13 is: 218,989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,012.84 : 394,697.78 = 158,688.13 : x
  2. Step 2: Convert to fraction form
    286,012.84/394,697.78 = 158,688.13/x
  3. Step 3: Cross multiply
    286,012.84x = 394,697.78 × 158,688.13
  4. Step 4: Simplify right side
    286,012.84x = 62,633,852,623.35
  5. Step 5: Solve for x
    x = 62,633,852,623.35/286,012.84
  6. Step 6: Final answer
    x = 218,989.65

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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.