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Finding the Fourth Proportional to 557,107.38, 768,808.17 and 302,458.59

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Solution

The fourth proportional to 557,107.38, 768,808.17 and 302,458.59 is: 417,392.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,107.38 : 768,808.17 = 302,458.59 : x
  2. Step 2: Convert to fraction form
    557,107.38/768,808.17 = 302,458.59/x
  3. Step 3: Cross multiply
    557,107.38x = 768,808.17 × 302,458.59
  4. Step 4: Simplify right side
    557,107.38x = 232,532,635,078.68
  5. Step 5: Solve for x
    x = 232,532,635,078.68/557,107.38
  6. Step 6: Final answer
    x = 417,392.85

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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.