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Finding the Fourth Proportional to 511,328.88, 705,657.96 and 284,976

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Solution

The fourth proportional to 511,328.88, 705,657.96 and 284,976 is: 393,280.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,328.88 : 705,657.96 = 284,976 : x
  2. Step 2: Convert to fraction form
    511,328.88/705,657.96 = 284,976/x
  3. Step 3: Cross multiply
    511,328.88x = 705,657.96 × 284,976
  4. Step 4: Simplify right side
    511,328.88x = 201,095,582,808.96
  5. Step 5: Solve for x
    x = 201,095,582,808.96/511,328.88
  6. Step 6: Final answer
    x = 393,280.31

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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.