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Finding the Fourth Proportional to 206,712.90, 310,069.35 and 203,948.10

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Solution

The fourth proportional to 206,712.90, 310,069.35 and 203,948.10 is: 305,922.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,712.90 : 310,069.35 = 203,948.10 : x
  2. Step 2: Convert to fraction form
    206,712.90/310,069.35 = 203,948.10/x
  3. Step 3: Cross multiply
    206,712.90x = 310,069.35 × 203,948.10
  4. Step 4: Simplify right side
    206,712.90x = 63,238,054,800.74
  5. Step 5: Solve for x
    x = 63,238,054,800.74/206,712.90
  6. Step 6: Final answer
    x = 305,922.15

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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.