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Finding the Fourth Proportional to 537,300.80, 805,029.60 and 256,212.80

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Solution

The fourth proportional to 537,300.80, 805,029.60 and 256,212.80 is: 383,879.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,300.80 : 805,029.60 = 256,212.80 : x
  2. Step 2: Convert to fraction form
    537,300.80/805,029.60 = 256,212.80/x
  3. Step 3: Cross multiply
    537,300.80x = 805,029.60 × 256,212.80
  4. Step 4: Simplify right side
    537,300.80x = 206,258,887,898.88
  5. Step 5: Solve for x
    x = 206,258,887,898.88/537,300.80
  6. Step 6: Final answer
    x = 383,879.73

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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.