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Finding the Fourth Proportional to 286,113.42, 394,828.56 and 157,051.80

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Solution

The fourth proportional to 286,113.42, 394,828.56 and 157,051.80 is: 216,727.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,113.42 : 394,828.56 = 157,051.80 : x
  2. Step 2: Convert to fraction form
    286,113.42/394,828.56 = 157,051.80/x
  3. Step 3: Cross multiply
    286,113.42x = 394,828.56 × 157,051.80
  4. Step 4: Simplify right side
    286,113.42x = 62,008,536,039.41
  5. Step 5: Solve for x
    x = 62,008,536,039.41/286,113.42
  6. Step 6: Final answer
    x = 216,727.11

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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.