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Finding the Fourth Proportional to 509,497.76, 701,891.70 and 356,249.21

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Solution

The fourth proportional to 509,497.76, 701,891.70 and 356,249.21 is: 490,774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,497.76 : 701,891.70 = 356,249.21 : x
  2. Step 2: Convert to fraction form
    509,497.76/701,891.70 = 356,249.21/x
  3. Step 3: Cross multiply
    509,497.76x = 701,891.70 × 356,249.21
  4. Step 4: Simplify right side
    509,497.76x = 250,048,363,630.56
  5. Step 5: Solve for x
    x = 250,048,363,630.56/509,497.76
  6. Step 6: Final answer
    x = 490,774.22

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.