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Finding the Fourth Proportional to 652,193.20, 978,289.80 and 439,616.80

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Solution

The fourth proportional to 652,193.20, 978,289.80 and 439,616.80 is: 659,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,193.20 : 978,289.80 = 439,616.80 : x
  2. Step 2: Convert to fraction form
    652,193.20/978,289.80 = 439,616.80/x
  3. Step 3: Cross multiply
    652,193.20x = 978,289.80 × 439,616.80
  4. Step 4: Simplify right side
    652,193.20x = 430,072,631,348.64
  5. Step 5: Solve for x
    x = 430,072,631,348.64/652,193.20
  6. Step 6: Final answer
    x = 659,425.20

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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.