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Finding the Fourth Proportional to 557,281.50, 769,041.66 and 302,634.48

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Solution

The fourth proportional to 557,281.50, 769,041.66 and 302,634.48 is: 417,631.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,281.50 : 769,041.66 = 302,634.48 : x
  2. Step 2: Convert to fraction form
    557,281.50/769,041.66 = 302,634.48/x
  3. Step 3: Cross multiply
    557,281.50x = 769,041.66 × 302,634.48
  4. Step 4: Simplify right side
    557,281.50x = 232,738,522,872.44
  5. Step 5: Solve for x
    x = 232,738,522,872.44/557,281.50
  6. Step 6: Final answer
    x = 417,631.88

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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.