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Finding the Fourth Proportional to 557,043.12, 768,720.52 and 302,394.48

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Solution

The fourth proportional to 557,043.12, 768,720.52 and 302,394.48 is: 417,304.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,043.12 : 768,720.52 = 302,394.48 : x
  2. Step 2: Convert to fraction form
    557,043.12/768,720.52 = 302,394.48/x
  3. Step 3: Cross multiply
    557,043.12x = 768,720.52 × 302,394.48
  4. Step 4: Simplify right side
    557,043.12x = 232,456,841,910.73
  5. Step 5: Solve for x
    x = 232,456,841,910.73/557,043.12
  6. Step 6: Final answer
    x = 417,304.93

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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.