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Finding the Fourth Proportional to 652,126.20, 978,189.30 and 178,859.40

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Solution

The fourth proportional to 652,126.20, 978,189.30 and 178,859.40 is: 268,289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,126.20 : 978,189.30 = 178,859.40 : x
  2. Step 2: Convert to fraction form
    652,126.20/978,189.30 = 178,859.40/x
  3. Step 3: Cross multiply
    652,126.20x = 978,189.30 × 178,859.40
  4. Step 4: Simplify right side
    652,126.20x = 174,958,351,284.42
  5. Step 5: Solve for x
    x = 174,958,351,284.42/652,126.20
  6. Step 6: Final answer
    x = 268,289.10

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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.