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Finding the Fourth Proportional to 557,519.90, 769,378.38 and 302,871.30

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Solution

The fourth proportional to 557,519.90, 769,378.38 and 302,871.30 is: 417,962.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,519.90 : 769,378.38 = 302,871.30 : x
  2. Step 2: Convert to fraction form
    557,519.90/769,378.38 = 302,871.30/x
  3. Step 3: Cross multiply
    557,519.90x = 769,378.38 × 302,871.30
  4. Step 4: Simplify right side
    557,519.90x = 233,022,630,142.49
  5. Step 5: Solve for x
    x = 233,022,630,142.49/557,519.90
  6. Step 6: Final answer
    x = 417,962.89

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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.