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Finding the Fourth Proportional to 520,251.84, 717,735.06 and 412,389

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Solution

The fourth proportional to 520,251.84, 717,735.06 and 412,389 is: 568,928.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,251.84 : 717,735.06 = 412,389 : x
  2. Step 2: Convert to fraction form
    520,251.84/717,735.06 = 412,389/x
  3. Step 3: Cross multiply
    520,251.84x = 717,735.06 × 412,389
  4. Step 4: Simplify right side
    520,251.84x = 295,986,043,658.34
  5. Step 5: Solve for x
    x = 295,986,043,658.34/520,251.84
  6. Step 6: Final answer
    x = 568,928.39

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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.