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Finding the Fourth Proportional to 543,645.90, 815,475.60 and 164,569.14

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Solution

The fourth proportional to 543,645.90, 815,475.60 and 164,569.14 is: 246,855.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,645.90 : 815,475.60 = 164,569.14 : x
  2. Step 2: Convert to fraction form
    543,645.90/815,475.60 = 164,569.14/x
  3. Step 3: Cross multiply
    543,645.90x = 815,475.60 × 164,569.14
  4. Step 4: Simplify right side
    543,645.90x = 134,202,118,182.98
  5. Step 5: Solve for x
    x = 134,202,118,182.98/543,645.90
  6. Step 6: Final answer
    x = 246,855.75

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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.