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Finding the Fourth Proportional to 557,286.75, 769,048.92 and 302,639.76

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Solution

The fourth proportional to 557,286.75, 769,048.92 and 302,639.76 is: 417,639.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,286.75 : 769,048.92 = 302,639.76 : x
  2. Step 2: Convert to fraction form
    557,286.75/769,048.92 = 302,639.76/x
  3. Step 3: Cross multiply
    557,286.75x = 769,048.92 × 302,639.76
  4. Step 4: Simplify right side
    557,286.75x = 232,744,780,577.06
  5. Step 5: Solve for x
    x = 232,744,780,577.06/557,286.75
  6. Step 6: Final answer
    x = 417,639.18

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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.