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Finding the Fourth Proportional to 509,697.28, 764,234.88 and 210,085.12

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Solution

The fourth proportional to 509,697.28, 764,234.88 and 210,085.12 is: 314,999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,697.28 : 764,234.88 = 210,085.12 : x
  2. Step 2: Convert to fraction form
    509,697.28/764,234.88 = 210,085.12/x
  3. Step 3: Cross multiply
    509,697.28x = 764,234.88 × 210,085.12
  4. Step 4: Simplify right side
    509,697.28x = 160,554,376,472.99
  5. Step 5: Solve for x
    x = 160,554,376,472.99/509,697.28
  6. Step 6: Final answer
    x = 314,999.48

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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.