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Finding the Fourth Proportional to 617,682.42, 852,416.16 and 345,743.54

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Solution

The fourth proportional to 617,682.42, 852,416.16 and 345,743.54 is: 477,134.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,682.42 : 852,416.16 = 345,743.54 : x
  2. Step 2: Convert to fraction form
    617,682.42/852,416.16 = 345,743.54/x
  3. Step 3: Cross multiply
    617,682.42x = 852,416.16 × 345,743.54
  4. Step 4: Simplify right side
    617,682.42x = 294,717,380,711.61
  5. Step 5: Solve for x
    x = 294,717,380,711.61/617,682.42
  6. Step 6: Final answer
    x = 477,134.16

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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.