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Finding the Fourth Proportional to 206,817.30, 310,225.95 and 165,345.30

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Solution

The fourth proportional to 206,817.30, 310,225.95 and 165,345.30 is: 248,017.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,817.30 : 310,225.95 = 165,345.30 : x
  2. Step 2: Convert to fraction form
    206,817.30/310,225.95 = 165,345.30/x
  3. Step 3: Cross multiply
    206,817.30x = 310,225.95 × 165,345.30
  4. Step 4: Simplify right side
    206,817.30x = 51,294,402,770.54
  5. Step 5: Solve for x
    x = 51,294,402,770.54/206,817.30
  6. Step 6: Final answer
    x = 248,017.95

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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.