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Finding the Fourth Proportional to 356,649.77, 492,334.94 and 227,757.09

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Solution

The fourth proportional to 356,649.77, 492,334.94 and 227,757.09 is: 314,405.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,649.77 : 492,334.94 = 227,757.09 : x
  2. Step 2: Convert to fraction form
    356,649.77/492,334.94 = 227,757.09/x
  3. Step 3: Cross multiply
    356,649.77x = 492,334.94 × 227,757.09
  4. Step 4: Simplify right side
    356,649.77x = 112,132,772,100.94
  5. Step 5: Solve for x
    x = 112,132,772,100.94/356,649.77
  6. Step 6: Final answer
    x = 314,405.85

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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.