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Finding the Fourth Proportional to 509,404.32, 764,266.50 and 210,025.80

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Solution

The fourth proportional to 509,404.32, 764,266.50 and 210,025.80 is: 315,104.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,404.32 : 764,266.50 = 210,025.80 : x
  2. Step 2: Convert to fraction form
    509,404.32/764,266.50 = 210,025.80/x
  3. Step 3: Cross multiply
    509,404.32x = 764,266.50 × 210,025.80
  4. Step 4: Simplify right side
    509,404.32x = 160,515,683,075.70
  5. Step 5: Solve for x
    x = 160,515,683,075.70/509,404.32
  6. Step 6: Final answer
    x = 315,104.68

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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.