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Finding the Fourth Proportional to 405,908.20, 610,028.70 and 354,586.60

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Solution

The fourth proportional to 405,908.20, 610,028.70 and 354,586.60 is: 532,898.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,908.20 : 610,028.70 = 354,586.60 : x
  2. Step 2: Convert to fraction form
    405,908.20/610,028.70 = 354,586.60/x
  3. Step 3: Cross multiply
    405,908.20x = 610,028.70 × 354,586.60
  4. Step 4: Simplify right side
    405,908.20x = 216,308,002,635.42
  5. Step 5: Solve for x
    x = 216,308,002,635.42/405,908.20
  6. Step 6: Final answer
    x = 532,898.82

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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.