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Finding the Fourth Proportional to 408,051.10, 611,857.95 and 171,126.10

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Solution

The fourth proportional to 408,051.10, 611,857.95 and 171,126.10 is: 256,597.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,051.10 : 611,857.95 = 171,126.10 : x
  2. Step 2: Convert to fraction form
    408,051.10/611,857.95 = 171,126.10/x
  3. Step 3: Cross multiply
    408,051.10x = 611,857.95 × 171,126.10
  4. Step 4: Simplify right side
    408,051.10x = 104,704,864,737.50
  5. Step 5: Solve for x
    x = 104,704,864,737.50/408,051.10
  6. Step 6: Final answer
    x = 256,597.43

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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.