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Finding the Fourth Proportional to 208,022.80, 312,034.20 and 172,593.40

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Solution

The fourth proportional to 208,022.80, 312,034.20 and 172,593.40 is: 258,890.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,022.80 : 312,034.20 = 172,593.40 : x
  2. Step 2: Convert to fraction form
    208,022.80/312,034.20 = 172,593.40/x
  3. Step 3: Cross multiply
    208,022.80x = 312,034.20 × 172,593.40
  4. Step 4: Simplify right side
    208,022.80x = 53,855,043,494.28
  5. Step 5: Solve for x
    x = 53,855,043,494.28/208,022.80
  6. Step 6: Final answer
    x = 258,890.10

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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.