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Finding the Fourth Proportional to 435,375, 653,062.50 and 154,893.06

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Solution

The fourth proportional to 435,375, 653,062.50 and 154,893.06 is: 232,339.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,375 : 653,062.50 = 154,893.06 : x
  2. Step 2: Convert to fraction form
    435,375/653,062.50 = 154,893.06/x
  3. Step 3: Cross multiply
    435,375x = 653,062.50 × 154,893.06
  4. Step 4: Simplify right side
    435,375x = 101,154,848,996.25
  5. Step 5: Solve for x
    x = 101,154,848,996.25/435,375
  6. Step 6: Final answer
    x = 232,339.59

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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.