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Finding the Fourth Proportional to 405,787.14, 608,285.10 and 169,197.48

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Solution

The fourth proportional to 405,787.14, 608,285.10 and 169,197.48 is: 253,631.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,787.14 : 608,285.10 = 169,197.48 : x
  2. Step 2: Convert to fraction form
    405,787.14/608,285.10 = 169,197.48/x
  3. Step 3: Cross multiply
    405,787.14x = 608,285.10 × 169,197.48
  4. Step 4: Simplify right side
    405,787.14x = 102,920,306,041.55
  5. Step 5: Solve for x
    x = 102,920,306,041.55/405,787.14
  6. Step 6: Final answer
    x = 253,631.27

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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.