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Finding the Fourth Proportional to 356,404.50, 491,838.21 and 197,428.50

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Solution

The fourth proportional to 356,404.50, 491,838.21 and 197,428.50 is: 272,451.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,404.50 : 491,838.21 = 197,428.50 : x
  2. Step 2: Convert to fraction form
    356,404.50/491,838.21 = 197,428.50/x
  3. Step 3: Cross multiply
    356,404.50x = 491,838.21 × 197,428.50
  4. Step 4: Simplify right side
    356,404.50x = 97,102,880,042.99
  5. Step 5: Solve for x
    x = 97,102,880,042.99/356,404.50
  6. Step 6: Final answer
    x = 272,451.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.