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Finding the Fourth Proportional to 503,296, 755,060.64 and 170,872

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Solution

The fourth proportional to 503,296, 755,060.64 and 170,872 is: 256,347.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,296 : 755,060.64 = 170,872 : x
  2. Step 2: Convert to fraction form
    503,296/755,060.64 = 170,872/x
  3. Step 3: Cross multiply
    503,296x = 755,060.64 × 170,872
  4. Step 4: Simplify right side
    503,296x = 129,018,721,678.08
  5. Step 5: Solve for x
    x = 129,018,721,678.08/503,296
  6. Step 6: Final answer
    x = 256,347.60

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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.