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Finding the Fourth Proportional to 550,486.06, 825,804.14 and 319,783.43

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Solution

The fourth proportional to 550,486.06, 825,804.14 and 319,783.43 is: 479,718.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,486.06 : 825,804.14 = 319,783.43 : x
  2. Step 2: Convert to fraction form
    550,486.06/825,804.14 = 319,783.43/x
  3. Step 3: Cross multiply
    550,486.06x = 825,804.14 × 319,783.43
  4. Step 4: Simplify right side
    550,486.06x = 264,078,480,862.99
  5. Step 5: Solve for x
    x = 264,078,480,862.99/550,486.06
  6. Step 6: Final answer
    x = 479,718.75

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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.