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Finding the Fourth Proportional to 289,139.52, 433,709.76 and 189,926.40

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Solution

The fourth proportional to 289,139.52, 433,709.76 and 189,926.40 is: 284,889.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,139.52 : 433,709.76 = 189,926.40 : x
  2. Step 2: Convert to fraction form
    289,139.52/433,709.76 = 189,926.40/x
  3. Step 3: Cross multiply
    289,139.52x = 433,709.76 × 189,926.40
  4. Step 4: Simplify right side
    289,139.52x = 82,372,933,361.66
  5. Step 5: Solve for x
    x = 82,372,933,361.66/289,139.52
  6. Step 6: Final answer
    x = 284,889.92

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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.