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Finding the Fourth Proportional to 435,396, 652,896.96 and 154,920.64

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Solution

The fourth proportional to 435,396, 652,896.96 and 154,920.64 is: 232,310.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,396 : 652,896.96 = 154,920.64 : x
  2. Step 2: Convert to fraction form
    435,396/652,896.96 = 154,920.64/x
  3. Step 3: Cross multiply
    435,396x = 652,896.96 × 154,920.64
  4. Step 4: Simplify right side
    435,396x = 101,147,214,897.25
  5. Step 5: Solve for x
    x = 101,147,214,897.25/435,396
  6. Step 6: Final answer
    x = 232,310.85

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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.