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Finding the Fourth Proportional to 550,820.25, 825,455.07 and 437,999.81

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Solution

The fourth proportional to 550,820.25, 825,455.07 and 437,999.81 is: 656,383.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,820.25 : 825,455.07 = 437,999.81 : x
  2. Step 2: Convert to fraction form
    550,820.25/825,455.07 = 437,999.81/x
  3. Step 3: Cross multiply
    550,820.25x = 825,455.07 × 437,999.81
  4. Step 4: Simplify right side
    550,820.25x = 361,549,159,696.26
  5. Step 5: Solve for x
    x = 361,549,159,696.26/550,820.25
  6. Step 6: Final answer
    x = 656,383.20

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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.