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Finding the Fourth Proportional to 493,396.71, 680,903.97 and 302,373.21

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Solution

The fourth proportional to 493,396.71, 680,903.97 and 302,373.21 is: 417,285.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,396.71 : 680,903.97 = 302,373.21 : x
  2. Step 2: Convert to fraction form
    493,396.71/680,903.97 = 302,373.21/x
  3. Step 3: Cross multiply
    493,396.71x = 680,903.97 × 302,373.21
  4. Step 4: Simplify right side
    493,396.71x = 205,887,119,110.64
  5. Step 5: Solve for x
    x = 205,887,119,110.64/493,396.71
  6. Step 6: Final answer
    x = 417,285.15

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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.