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Finding the Fourth Proportional to 641,807.32, 961,291.96 and 438,922.61

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Solution

The fourth proportional to 641,807.32, 961,291.96 and 438,922.61 is: 657,413.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,807.32 : 961,291.96 = 438,922.61 : x
  2. Step 2: Convert to fraction form
    641,807.32/961,291.96 = 438,922.61/x
  3. Step 3: Cross multiply
    641,807.32x = 961,291.96 × 438,922.61
  4. Step 4: Simplify right side
    641,807.32x = 421,932,780,809.52
  5. Step 5: Solve for x
    x = 421,932,780,809.52/641,807.32
  6. Step 6: Final answer
    x = 657,413.48

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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.