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Finding the Fourth Proportional to 511,357, 704,934.84 and 357,920.32

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Solution

The fourth proportional to 511,357, 704,934.84 and 357,920.32 is: 493,413.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,357 : 704,934.84 = 357,920.32 : x
  2. Step 2: Convert to fraction form
    511,357/704,934.84 = 357,920.32/x
  3. Step 3: Cross multiply
    511,357x = 704,934.84 × 357,920.32
  4. Step 4: Simplify right side
    511,357x = 252,310,503,511.95
  5. Step 5: Solve for x
    x = 252,310,503,511.95/511,357
  6. Step 6: Final answer
    x = 493,413.61

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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.