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Finding the Fourth Proportional to 617,485, 852,129.30 and 334,861

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Solution

The fourth proportional to 617,485, 852,129.30 and 334,861 is: 462,108.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,485 : 852,129.30 = 334,861 : x
  2. Step 2: Convert to fraction form
    617,485/852,129.30 = 334,861/x
  3. Step 3: Cross multiply
    617,485x = 852,129.30 × 334,861
  4. Step 4: Simplify right side
    617,485x = 285,344,869,527.30
  5. Step 5: Solve for x
    x = 285,344,869,527.30/617,485
  6. Step 6: Final answer
    x = 462,108.18

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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.