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Finding the Fourth Proportional to 307,967.50, 424,983.19 and 193,307.75

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Solution

The fourth proportional to 307,967.50, 424,983.19 and 193,307.75 is: 266,757.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,967.50 : 424,983.19 = 193,307.75 : x
  2. Step 2: Convert to fraction form
    307,967.50/424,983.19 = 193,307.75/x
  3. Step 3: Cross multiply
    307,967.50x = 424,983.19 × 193,307.75
  4. Step 4: Simplify right side
    307,967.50x = 82,152,541,155.27
  5. Step 5: Solve for x
    x = 82,152,541,155.27/307,967.50
  6. Step 6: Final answer
    x = 266,757.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.