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Finding the Fourth Proportional to 589,548.90, 812,753.67 and 498,539.73

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Solution

The fourth proportional to 589,548.90, 812,753.67 and 498,539.73 is: 687,288.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,548.90 : 812,753.67 = 498,539.73 : x
  2. Step 2: Convert to fraction form
    589,548.90/812,753.67 = 498,539.73/x
  3. Step 3: Cross multiply
    589,548.90x = 812,753.67 × 498,539.73
  4. Step 4: Simplify right side
    589,548.90x = 405,189,995,198.31
  5. Step 5: Solve for x
    x = 405,189,995,198.31/589,548.90
  6. Step 6: Final answer
    x = 687,288.19

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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.