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Finding the Fourth Proportional to 503,930, 755,972.76 and 188,431.76

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Solution

The fourth proportional to 503,930, 755,972.76 and 188,431.76 is: 282,676.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,930 : 755,972.76 = 188,431.76 : x
  2. Step 2: Convert to fraction form
    503,930/755,972.76 = 188,431.76/x
  3. Step 3: Cross multiply
    503,930x = 755,972.76 × 188,431.76
  4. Step 4: Simplify right side
    503,930x = 142,449,277,678.86
  5. Step 5: Solve for x
    x = 142,449,277,678.86/503,930
  6. Step 6: Final answer
    x = 282,676.72

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1.5x scale

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.