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Finding the Fourth Proportional to 509,576.32, 701,999.76 and 356,327.92

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Solution

The fourth proportional to 509,576.32, 701,999.76 and 356,327.92 is: 490,882.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,576.32 : 701,999.76 = 356,327.92 : x
  2. Step 2: Convert to fraction form
    509,576.32/701,999.76 = 356,327.92/x
  3. Step 3: Cross multiply
    509,576.32x = 701,999.76 × 356,327.92
  4. Step 4: Simplify right side
    509,576.32x = 250,142,114,321.30
  5. Step 5: Solve for x
    x = 250,142,114,321.30/509,576.32
  6. Step 6: Final answer
    x = 490,882.53

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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.