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Finding the Fourth Proportional to 550,130.40, 824,806.80 and 213,040.80

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Solution

The fourth proportional to 550,130.40, 824,806.80 and 213,040.80 is: 319,410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,130.40 : 824,806.80 = 213,040.80 : x
  2. Step 2: Convert to fraction form
    550,130.40/824,806.80 = 213,040.80/x
  3. Step 3: Cross multiply
    550,130.40x = 824,806.80 × 213,040.80
  4. Step 4: Simplify right side
    550,130.40x = 175,717,500,517.44
  5. Step 5: Solve for x
    x = 175,717,500,517.44/550,130.40
  6. Step 6: Final answer
    x = 319,410.64

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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.