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Finding the Fourth Proportional to 408,020.10, 611,811.45 and 171,095.10

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Solution

The fourth proportional to 408,020.10, 611,811.45 and 171,095.10 is: 256,550.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,020.10 : 611,811.45 = 171,095.10 : x
  2. Step 2: Convert to fraction form
    408,020.10/611,811.45 = 171,095.10/x
  3. Step 3: Cross multiply
    408,020.10x = 611,811.45 × 171,095.10
  4. Step 4: Simplify right side
    408,020.10x = 104,677,941,218.90
  5. Step 5: Solve for x
    x = 104,677,941,218.90/408,020.10
  6. Step 6: Final answer
    x = 256,550.94

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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.