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Finding the Fourth Proportional to 503,288, 755,048.64 and 170,864

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Solution

The fourth proportional to 503,288, 755,048.64 and 170,864 is: 256,335.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,288 : 755,048.64 = 170,864 : x
  2. Step 2: Convert to fraction form
    503,288/755,048.64 = 170,864/x
  3. Step 3: Cross multiply
    503,288x = 755,048.64 × 170,864
  4. Step 4: Simplify right side
    503,288x = 129,010,630,824.96
  5. Step 5: Solve for x
    x = 129,010,630,824.96/503,288
  6. Step 6: Final answer
    x = 256,335.60

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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.