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Finding the Fourth Proportional to 557,052.82, 768,742.23 and 302,404

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Solution

The fourth proportional to 557,052.82, 768,742.23 and 302,404 is: 417,322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,052.82 : 768,742.23 = 302,404 : x
  2. Step 2: Convert to fraction form
    557,052.82/768,742.23 = 302,404/x
  3. Step 3: Cross multiply
    557,052.82x = 768,742.23 × 302,404
  4. Step 4: Simplify right side
    557,052.82x = 232,470,725,320.92
  5. Step 5: Solve for x
    x = 232,470,725,320.92/557,052.82
  6. Step 6: Final answer
    x = 417,322.59

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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.