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Finding the Fourth Proportional to 652,139.20, 978,208.80 and 178,872.40

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Solution

The fourth proportional to 652,139.20, 978,208.80 and 178,872.40 is: 268,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,139.20 : 978,208.80 = 178,872.40 : x
  2. Step 2: Convert to fraction form
    652,139.20/978,208.80 = 178,872.40/x
  3. Step 3: Cross multiply
    652,139.20x = 978,208.80 × 178,872.40
  4. Step 4: Simplify right side
    652,139.20x = 174,974,555,757.12
  5. Step 5: Solve for x
    x = 174,974,555,757.12/652,139.20
  6. Step 6: Final answer
    x = 268,308.60

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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.