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Finding the Fourth Proportional to 533,428.75, 800,143.14 and 139,444.75

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Solution

The fourth proportional to 533,428.75, 800,143.14 and 139,444.75 is: 209,167.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,428.75 : 800,143.14 = 139,444.75 : x
  2. Step 2: Convert to fraction form
    533,428.75/800,143.14 = 139,444.75/x
  3. Step 3: Cross multiply
    533,428.75x = 800,143.14 × 139,444.75
  4. Step 4: Simplify right side
    533,428.75x = 111,575,760,121.52
  5. Step 5: Solve for x
    x = 111,575,760,121.52/533,428.75
  6. Step 6: Final answer
    x = 209,167.13

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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.