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Finding the Fourth Proportional to 557,286.03, 769,047.84 and 302,639.04

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Solution

The fourth proportional to 557,286.03, 769,047.84 and 302,639.04 is: 417,638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,286.03 : 769,047.84 = 302,639.04 : x
  2. Step 2: Convert to fraction form
    557,286.03/769,047.84 = 302,639.04/x
  3. Step 3: Cross multiply
    557,286.03x = 769,047.84 × 302,639.04
  4. Step 4: Simplify right side
    557,286.03x = 232,743,900,011.67
  5. Step 5: Solve for x
    x = 232,743,900,011.67/557,286.03
  6. Step 6: Final answer
    x = 417,638.14

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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.