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Finding the Fourth Proportional to 509,408.07, 764,272.13 and 210,029.55

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Solution

The fourth proportional to 509,408.07, 764,272.13 and 210,029.55 is: 315,110.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,408.07 : 764,272.13 = 210,029.55 : x
  2. Step 2: Convert to fraction form
    509,408.07/764,272.13 = 210,029.55/x
  3. Step 3: Cross multiply
    509,408.07x = 764,272.13 × 210,029.55
  4. Step 4: Simplify right side
    509,408.07x = 160,519,730,491.29
  5. Step 5: Solve for x
    x = 160,519,730,491.29/509,408.07
  6. Step 6: Final answer
    x = 315,110.30

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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.