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Finding the Fourth Proportional to 627,258.88, 865,976 and 413,021.44

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Solution

The fourth proportional to 627,258.88, 865,976 and 413,021.44 is: 570,205.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,258.88 : 865,976 = 413,021.44 : x
  2. Step 2: Convert to fraction form
    627,258.88/865,976 = 413,021.44/x
  3. Step 3: Cross multiply
    627,258.88x = 865,976 × 413,021.44
  4. Step 4: Simplify right side
    627,258.88x = 357,666,654,525.44
  5. Step 5: Solve for x
    x = 357,666,654,525.44/627,258.88
  6. Step 6: Final answer
    x = 570,205.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.