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Finding the Fourth Proportional to 522,085.80, 783,128.70 and 272,735.40

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Solution

The fourth proportional to 522,085.80, 783,128.70 and 272,735.40 is: 409,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,085.80 : 783,128.70 = 272,735.40 : x
  2. Step 2: Convert to fraction form
    522,085.80/783,128.70 = 272,735.40/x
  3. Step 3: Cross multiply
    522,085.80x = 783,128.70 × 272,735.40
  4. Step 4: Simplify right side
    522,085.80x = 213,586,919,245.98
  5. Step 5: Solve for x
    x = 213,586,919,245.98/522,085.80
  6. Step 6: Final answer
    x = 409,103.10

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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.