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Finding the Fourth Proportional to 576,842.82, 865,485.81 and 406,228.26

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Solution

The fourth proportional to 576,842.82, 865,485.81 and 406,228.26 is: 609,498.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,842.82 : 865,485.81 = 406,228.26 : x
  2. Step 2: Convert to fraction form
    576,842.82/865,485.81 = 406,228.26/x
  3. Step 3: Cross multiply
    576,842.82x = 865,485.81 × 406,228.26
  4. Step 4: Simplify right side
    576,842.82x = 351,584,797,896.56
  5. Step 5: Solve for x
    x = 351,584,797,896.56/576,842.82
  6. Step 6: Final answer
    x = 609,498.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.