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Finding the Fourth Proportional to 576,817.20, 865,214.41 and 172,283.38

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Solution

The fourth proportional to 576,817.20, 865,214.41 and 172,283.38 is: 258,421.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,817.20 : 865,214.41 = 172,283.38 : x
  2. Step 2: Convert to fraction form
    576,817.20/865,214.41 = 172,283.38/x
  3. Step 3: Cross multiply
    576,817.20x = 865,214.41 × 172,283.38
  4. Step 4: Simplify right side
    576,817.20x = 149,062,063,142.21
  5. Step 5: Solve for x
    x = 149,062,063,142.21/576,817.20
  6. Step 6: Final answer
    x = 258,421.67

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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.