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Finding the Fourth Proportional to 524,462.30, 723,571.35 and 309,494.78

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Solution

The fourth proportional to 524,462.30, 723,571.35 and 309,494.78 is: 426,992.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,462.30 : 723,571.35 = 309,494.78 : x
  2. Step 2: Convert to fraction form
    524,462.30/723,571.35 = 309,494.78/x
  3. Step 3: Cross multiply
    524,462.30x = 723,571.35 × 309,494.78
  4. Step 4: Simplify right side
    524,462.30x = 223,941,555,782.55
  5. Step 5: Solve for x
    x = 223,941,555,782.55/524,462.30
  6. Step 6: Final answer
    x = 426,992.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.