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Finding the Fourth Proportional to 537,388.77, 805,472.06 and 280,825.77

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Solution

The fourth proportional to 537,388.77, 805,472.06 and 280,825.77 is: 420,919.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,388.77 : 805,472.06 = 280,825.77 : x
  2. Step 2: Convert to fraction form
    537,388.77/805,472.06 = 280,825.77/x
  3. Step 3: Cross multiply
    537,388.77x = 805,472.06 × 280,825.77
  4. Step 4: Simplify right side
    537,388.77x = 226,197,312,072.54
  5. Step 5: Solve for x
    x = 226,197,312,072.54/537,388.77
  6. Step 6: Final answer
    x = 420,919.31

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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.