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Finding the Fourth Proportional to 493,668.40, 680,328.84 and 357,471.76

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Solution

The fourth proportional to 493,668.40, 680,328.84 and 357,471.76 is: 492,635.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,668.40 : 680,328.84 = 357,471.76 : x
  2. Step 2: Convert to fraction form
    493,668.40/680,328.84 = 357,471.76/x
  3. Step 3: Cross multiply
    493,668.40x = 680,328.84 × 357,471.76
  4. Step 4: Simplify right side
    493,668.40x = 243,198,347,813.56
  5. Step 5: Solve for x
    x = 243,198,347,813.56/493,668.40
  6. Step 6: Final answer
    x = 492,635.03

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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.