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Finding the Fourth Proportional to 617,282.80, 852,141.50 and 464,379.34

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Solution

The fourth proportional to 617,282.80, 852,141.50 and 464,379.34 is: 641,062.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,282.80 : 852,141.50 = 464,379.34 : x
  2. Step 2: Convert to fraction form
    617,282.80/852,141.50 = 464,379.34/x
  3. Step 3: Cross multiply
    617,282.80x = 852,141.50 × 464,379.34
  4. Step 4: Simplify right side
    617,282.80x = 395,716,909,400.97
  5. Step 5: Solve for x
    x = 395,716,909,400.97/617,282.80
  6. Step 6: Final answer
    x = 641,062.59

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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.