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Finding the Fourth Proportional to 652,137.30, 978,205.95 and 178,821.90

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Solution

The fourth proportional to 652,137.30, 978,205.95 and 178,821.90 is: 268,232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,137.30 : 978,205.95 = 178,821.90 : x
  2. Step 2: Convert to fraction form
    652,137.30/978,205.95 = 178,821.90/x
  3. Step 3: Cross multiply
    652,137.30x = 978,205.95 × 178,821.90
  4. Step 4: Simplify right side
    652,137.30x = 174,924,646,570.31
  5. Step 5: Solve for x
    x = 174,924,646,570.31/652,137.30
  6. Step 6: Final answer
    x = 268,232.85

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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.