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Finding the Fourth Proportional to 522,456, 783,028.08 and 282,560.34

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Solution

The fourth proportional to 522,456, 783,028.08 and 282,560.34 is: 423,485.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,456 : 783,028.08 = 282,560.34 : x
  2. Step 2: Convert to fraction form
    522,456/783,028.08 = 282,560.34/x
  3. Step 3: Cross multiply
    522,456x = 783,028.08 × 282,560.34
  4. Step 4: Simplify right side
    522,456x = 221,252,680,514.35
  5. Step 5: Solve for x
    x = 221,252,680,514.35/522,456
  6. Step 6: Final answer
    x = 423,485.77

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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.