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Finding the Fourth Proportional to 652,109.70, 978,164.55 and 428,160.90

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Solution

The fourth proportional to 652,109.70, 978,164.55 and 428,160.90 is: 642,241.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,109.70 : 978,164.55 = 428,160.90 : x
  2. Step 2: Convert to fraction form
    652,109.70/978,164.55 = 428,160.90/x
  3. Step 3: Cross multiply
    652,109.70x = 978,164.55 × 428,160.90
  4. Step 4: Simplify right side
    652,109.70x = 418,811,814,076.10
  5. Step 5: Solve for x
    x = 418,811,814,076.10/652,109.70
  6. Step 6: Final answer
    x = 642,241.35

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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.