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Finding the Fourth Proportional to 617,784, 852,536.16 and 349,512

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Solution

The fourth proportional to 617,784, 852,536.16 and 349,512 is: 482,323.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,784 : 852,536.16 = 349,512 : x
  2. Step 2: Convert to fraction form
    617,784/852,536.16 = 349,512/x
  3. Step 3: Cross multiply
    617,784x = 852,536.16 × 349,512
  4. Step 4: Simplify right side
    617,784x = 297,971,618,353.92
  5. Step 5: Solve for x
    x = 297,971,618,353.92/617,784
  6. Step 6: Final answer
    x = 482,323.30

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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.