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Finding the Fourth Proportional to 509,650.71, 764,568.33 and 209,964.75

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Solution

The fourth proportional to 509,650.71, 764,568.33 and 209,964.75 is: 314,985.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,650.71 : 764,568.33 = 209,964.75 : x
  2. Step 2: Convert to fraction form
    509,650.71/764,568.33 = 209,964.75/x
  3. Step 3: Cross multiply
    509,650.71x = 764,568.33 × 209,964.75
  4. Step 4: Simplify right side
    509,650.71x = 160,532,398,266.37
  5. Step 5: Solve for x
    x = 160,532,398,266.37/509,650.71
  6. Step 6: Final answer
    x = 314,985.14

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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.