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Finding the Fourth Proportional to 557,429.67, 769,257 and 302,780.97

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Solution

The fourth proportional to 557,429.67, 769,257 and 302,780.97 is: 417,839.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,429.67 : 769,257 = 302,780.97 : x
  2. Step 2: Convert to fraction form
    557,429.67/769,257 = 302,780.97/x
  3. Step 3: Cross multiply
    557,429.67x = 769,257 × 302,780.97
  4. Step 4: Simplify right side
    557,429.67x = 232,916,380,639.29
  5. Step 5: Solve for x
    x = 232,916,380,639.29/557,429.67
  6. Step 6: Final answer
    x = 417,839.94

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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.