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Finding the Fourth Proportional to 209,960.30, 314,940.45 and 172,562.60

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Solution

The fourth proportional to 209,960.30, 314,940.45 and 172,562.60 is: 258,843.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,960.30 : 314,940.45 = 172,562.60 : x
  2. Step 2: Convert to fraction form
    209,960.30/314,940.45 = 172,562.60/x
  3. Step 3: Cross multiply
    209,960.30x = 314,940.45 × 172,562.60
  4. Step 4: Simplify right side
    209,960.30x = 54,346,942,897.17
  5. Step 5: Solve for x
    x = 54,346,942,897.17/209,960.30
  6. Step 6: Final answer
    x = 258,843.90

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1.5x scale

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.