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Finding the Fourth Proportional to 378,511.32, 567,823.78 and 122,258.31

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Solution

The fourth proportional to 378,511.32, 567,823.78 and 122,258.31 is: 183,405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,511.32 : 567,823.78 = 122,258.31 : x
  2. Step 2: Convert to fraction form
    378,511.32/567,823.78 = 122,258.31/x
  3. Step 3: Cross multiply
    378,511.32x = 567,823.78 × 122,258.31
  4. Step 4: Simplify right side
    378,511.32x = 69,421,172,881.49
  5. Step 5: Solve for x
    x = 69,421,172,881.49/378,511.32
  6. Step 6: Final answer
    x = 183,405.80

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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.