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Finding the Fourth Proportional to 503,280, 755,036.64 and 170,856

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Solution

The fourth proportional to 503,280, 755,036.64 and 170,856 is: 256,323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,280 : 755,036.64 = 170,856 : x
  2. Step 2: Convert to fraction form
    503,280/755,036.64 = 170,856/x
  3. Step 3: Cross multiply
    503,280x = 755,036.64 × 170,856
  4. Step 4: Simplify right side
    503,280x = 129,002,540,163.84
  5. Step 5: Solve for x
    x = 129,002,540,163.84/503,280
  6. Step 6: Final answer
    x = 256,323.60

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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.