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Finding the Fourth Proportional to 407,840.70, 611,761.05 and 171,644.70

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Solution

The fourth proportional to 407,840.70, 611,761.05 and 171,644.70 is: 257,467.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,840.70 : 611,761.05 = 171,644.70 : x
  2. Step 2: Convert to fraction form
    407,840.70/611,761.05 = 171,644.70/x
  3. Step 3: Cross multiply
    407,840.70x = 611,761.05 × 171,644.70
  4. Step 4: Simplify right side
    407,840.70x = 105,005,541,898.94
  5. Step 5: Solve for x
    x = 105,005,541,898.94/407,840.70
  6. Step 6: Final answer
    x = 257,467.05

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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.