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Finding the Fourth Proportional to 557,027.12, 768,698.40 and 302,378.48

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Solution

The fourth proportional to 557,027.12, 768,698.40 and 302,378.48 is: 417,282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,027.12 : 768,698.40 = 302,378.48 : x
  2. Step 2: Convert to fraction form
    557,027.12/768,698.40 = 302,378.48/x
  3. Step 3: Cross multiply
    557,027.12x = 768,698.40 × 302,378.48
  4. Step 4: Simplify right side
    557,027.12x = 232,437,853,770.43
  5. Step 5: Solve for x
    x = 232,437,853,770.43/557,027.12
  6. Step 6: Final answer
    x = 417,282.83

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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.