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Finding the Fourth Proportional to 338,865.88, 508,049.71 and 161,497.45

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Solution

The fourth proportional to 338,865.88, 508,049.71 and 161,497.45 is: 242,127.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,865.88 : 508,049.71 = 161,497.45 : x
  2. Step 2: Convert to fraction form
    338,865.88/508,049.71 = 161,497.45/x
  3. Step 3: Cross multiply
    338,865.88x = 508,049.71 × 161,497.45
  4. Step 4: Simplify right side
    338,865.88x = 82,048,732,638.24
  5. Step 5: Solve for x
    x = 82,048,732,638.24/338,865.88
  6. Step 6: Final answer
    x = 242,127.45

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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.