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Finding the Fourth Proportional to 557,640.16, 769,532.34 and 302,993.18

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Solution

The fourth proportional to 557,640.16, 769,532.34 and 302,993.18 is: 418,124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,640.16 : 769,532.34 = 302,993.18 : x
  2. Step 2: Convert to fraction form
    557,640.16/769,532.34 = 302,993.18/x
  3. Step 3: Cross multiply
    557,640.16x = 769,532.34 × 302,993.18
  4. Step 4: Simplify right side
    557,640.16x = 233,163,050,809.44
  5. Step 5: Solve for x
    x = 233,163,050,809.44/557,640.16
  6. Step 6: Final answer
    x = 418,124.57

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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.