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Finding the Fourth Proportional to 378,852.84, 568,130.76 and 142,066.44

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Solution

The fourth proportional to 378,852.84, 568,130.76 and 142,066.44 is: 213,043.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,852.84 : 568,130.76 = 142,066.44 : x
  2. Step 2: Convert to fraction form
    378,852.84/568,130.76 = 142,066.44/x
  3. Step 3: Cross multiply
    378,852.84x = 568,130.76 × 142,066.44
  4. Step 4: Simplify right side
    378,852.84x = 80,712,314,527.69
  5. Step 5: Solve for x
    x = 80,712,314,527.69/378,852.84
  6. Step 6: Final answer
    x = 213,043.97

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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.