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Finding the Fourth Proportional to 378,361.13, 567,479.52 and 153,712.49

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Solution

The fourth proportional to 378,361.13, 567,479.52 and 153,712.49 is: 230,543.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,361.13 : 567,479.52 = 153,712.49 : x
  2. Step 2: Convert to fraction form
    378,361.13/567,479.52 = 153,712.49/x
  3. Step 3: Cross multiply
    378,361.13x = 567,479.52 × 153,712.49
  4. Step 4: Simplify right side
    378,361.13x = 87,228,687,205.81
  5. Step 5: Solve for x
    x = 87,228,687,205.81/378,361.13
  6. Step 6: Final answer
    x = 230,543.47

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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.