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Finding the Fourth Proportional to 493,431.82, 680,952.39 and 302,408.30

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Solution

The fourth proportional to 493,431.82, 680,952.39 and 302,408.30 is: 417,333.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,431.82 : 680,952.39 = 302,408.30 : x
  2. Step 2: Convert to fraction form
    493,431.82/680,952.39 = 302,408.30/x
  3. Step 3: Cross multiply
    493,431.82x = 680,952.39 × 302,408.30
  4. Step 4: Simplify right side
    493,431.82x = 205,925,655,209.19
  5. Step 5: Solve for x
    x = 205,925,655,209.19/493,431.82
  6. Step 6: Final answer
    x = 417,333.56

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1.5x scale

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.