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Finding the Fourth Proportional to 208,398, 312,605.64 and 60,654

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Solution

The fourth proportional to 208,398, 312,605.64 and 60,654 is: 90,983.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,398 : 312,605.64 = 60,654 : x
  2. Step 2: Convert to fraction form
    208,398/312,605.64 = 60,654/x
  3. Step 3: Cross multiply
    208,398x = 312,605.64 × 60,654
  4. Step 4: Simplify right side
    208,398x = 18,960,782,488.56
  5. Step 5: Solve for x
    x = 18,960,782,488.56/208,398
  6. Step 6: Final answer
    x = 90,983.51

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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.