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Finding the Fourth Proportional to 576,497.40, 865,005.30 and 260,791.80

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Solution

The fourth proportional to 576,497.40, 865,005.30 and 260,791.80 is: 391,304.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,497.40 : 865,005.30 = 260,791.80 : x
  2. Step 2: Convert to fraction form
    576,497.40/865,005.30 = 260,791.80/x
  3. Step 3: Cross multiply
    576,497.40x = 865,005.30 × 260,791.80
  4. Step 4: Simplify right side
    576,497.40x = 225,586,289,196.54
  5. Step 5: Solve for x
    x = 225,586,289,196.54/576,497.40
  6. Step 6: Final answer
    x = 391,304.96

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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.