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Finding the Fourth Proportional to 405,711.80, 608,438.10 and 168,997.40

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Solution

The fourth proportional to 405,711.80, 608,438.10 and 168,997.40 is: 253,442.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,711.80 : 608,438.10 = 168,997.40 : x
  2. Step 2: Convert to fraction form
    405,711.80/608,438.10 = 168,997.40/x
  3. Step 3: Cross multiply
    405,711.80x = 608,438.10 × 168,997.40
  4. Step 4: Simplify right side
    405,711.80x = 102,824,456,960.94
  5. Step 5: Solve for x
    x = 102,824,456,960.94/405,711.80
  6. Step 6: Final answer
    x = 253,442.12

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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.