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Finding the Fourth Proportional to 405,884.72, 608,728.67 and 169,098.23

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Solution

The fourth proportional to 405,884.72, 608,728.67 and 169,098.23 is: 253,606.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,884.72 : 608,728.67 = 169,098.23 : x
  2. Step 2: Convert to fraction form
    405,884.72/608,728.67 = 169,098.23/x
  3. Step 3: Cross multiply
    405,884.72x = 608,728.67 × 169,098.23
  4. Step 4: Simplify right side
    405,884.72x = 102,934,941,957.70
  5. Step 5: Solve for x
    x = 102,934,941,957.70/405,884.72
  6. Step 6: Final answer
    x = 253,606.35

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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.