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Finding the Fourth Proportional to 509,501.70, 764,252.55 and 209,882.70

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Solution

The fourth proportional to 509,501.70, 764,252.55 and 209,882.70 is: 314,824.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,501.70 : 764,252.55 = 209,882.70 : x
  2. Step 2: Convert to fraction form
    509,501.70/764,252.55 = 209,882.70/x
  3. Step 3: Cross multiply
    509,501.70x = 764,252.55 × 209,882.70
  4. Step 4: Simplify right side
    509,501.70x = 160,403,388,675.89
  5. Step 5: Solve for x
    x = 160,403,388,675.89/509,501.70
  6. Step 6: Final answer
    x = 314,824.05

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Similar ratio
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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.