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Finding the Fourth Proportional to 378,702.66, 567,512.64 and 278,073.30

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Solution

The fourth proportional to 378,702.66, 567,512.64 and 278,073.30 is: 416,712.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,702.66 : 567,512.64 = 278,073.30 : x
  2. Step 2: Convert to fraction form
    378,702.66/567,512.64 = 278,073.30/x
  3. Step 3: Cross multiply
    378,702.66x = 567,512.64 × 278,073.30
  4. Step 4: Simplify right side
    378,702.66x = 157,810,112,596.51
  5. Step 5: Solve for x
    x = 157,810,112,596.51/378,702.66
  6. Step 6: Final answer
    x = 416,712.45

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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.