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Finding the Fourth Proportional to 207,211.30, 310,298.55 and 165,739.30

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Solution

The fourth proportional to 207,211.30, 310,298.55 and 165,739.30 is: 248,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,211.30 : 310,298.55 = 165,739.30 : x
  2. Step 2: Convert to fraction form
    207,211.30/310,298.55 = 165,739.30/x
  3. Step 3: Cross multiply
    207,211.30x = 310,298.55 × 165,739.30
  4. Step 4: Simplify right side
    207,211.30x = 51,428,664,468.02
  5. Step 5: Solve for x
    x = 51,428,664,468.02/207,211.30
  6. Step 6: Final answer
    x = 248,194.30

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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.