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Finding the Fourth Proportional to 378,672.90, 568,127.22 and 112,434.81

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Solution

The fourth proportional to 378,672.90, 568,127.22 and 112,434.81 is: 168,687.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,672.90 : 568,127.22 = 112,434.81 : x
  2. Step 2: Convert to fraction form
    378,672.90/568,127.22 = 112,434.81/x
  3. Step 3: Cross multiply
    378,672.90x = 568,127.22 × 112,434.81
  4. Step 4: Simplify right side
    378,672.90x = 63,877,276,036.53
  5. Step 5: Solve for x
    x = 63,877,276,036.53/378,672.90
  6. Step 6: Final answer
    x = 168,687.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.