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Finding the Fourth Proportional to 509,081.90, 763,618.50 and 205,471.40

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Solution

The fourth proportional to 509,081.90, 763,618.50 and 205,471.40 is: 308,205.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,081.90 : 763,618.50 = 205,471.40 : x
  2. Step 2: Convert to fraction form
    509,081.90/763,618.50 = 205,471.40/x
  3. Step 3: Cross multiply
    509,081.90x = 763,618.50 × 205,471.40
  4. Step 4: Simplify right side
    509,081.90x = 156,901,758,442.81
  5. Step 5: Solve for x
    x = 156,901,758,442.81/509,081.90
  6. Step 6: Final answer
    x = 308,205.34

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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.