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Finding the Fourth Proportional to 550,835.42, 825,477.62 and 438,014.48

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Solution

The fourth proportional to 550,835.42, 825,477.62 and 438,014.48 is: 656,405.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,835.42 : 825,477.62 = 438,014.48 : x
  2. Step 2: Convert to fraction form
    550,835.42/825,477.62 = 438,014.48/x
  3. Step 3: Cross multiply
    550,835.42x = 825,477.62 × 438,014.48
  4. Step 4: Simplify right side
    550,835.42x = 361,571,144,158.48
  5. Step 5: Solve for x
    x = 361,571,144,158.48/550,835.42
  6. Step 6: Final answer
    x = 656,405.04

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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.