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Finding the Fourth Proportional to 338,071.52, 507,213.39 and 203,290.76

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Solution

The fourth proportional to 338,071.52, 507,213.39 and 203,290.76 is: 304,999.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,071.52 : 507,213.39 = 203,290.76 : x
  2. Step 2: Convert to fraction form
    338,071.52/507,213.39 = 203,290.76/x
  3. Step 3: Cross multiply
    338,071.52x = 507,213.39 × 203,290.76
  4. Step 4: Simplify right side
    338,071.52x = 103,111,795,535.28
  5. Step 5: Solve for x
    x = 103,111,795,535.28/338,071.52
  6. Step 6: Final answer
    x = 304,999.95

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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.