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Finding the Fourth Proportional to 493,021.62, 739,384.20 and 256,234.86

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Solution

The fourth proportional to 493,021.62, 739,384.20 and 256,234.86 is: 384,275.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,021.62 : 739,384.20 = 256,234.86 : x
  2. Step 2: Convert to fraction form
    493,021.62/739,384.20 = 256,234.86/x
  3. Step 3: Cross multiply
    493,021.62x = 739,384.20 × 256,234.86
  4. Step 4: Simplify right side
    493,021.62x = 189,456,006,973.21
  5. Step 5: Solve for x
    x = 189,456,006,973.21/493,021.62
  6. Step 6: Final answer
    x = 384,275.25

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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.