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Finding the Fourth Proportional to 205,438.17, 308,171.19 and 63,274.67

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Solution

The fourth proportional to 205,438.17, 308,171.19 and 63,274.67 is: 94,916.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,438.17 : 308,171.19 = 63,274.67 : x
  2. Step 2: Convert to fraction form
    205,438.17/308,171.19 = 63,274.67/x
  3. Step 3: Cross multiply
    205,438.17x = 308,171.19 × 63,274.67
  4. Step 4: Simplify right side
    205,438.17x = 19,499,428,809.90
  5. Step 5: Solve for x
    x = 19,499,428,809.90/205,438.17
  6. Step 6: Final answer
    x = 94,916.29

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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.