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Finding the Fourth Proportional to 389,709.81, 537,313.12 and 297,942.82

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Solution

The fourth proportional to 389,709.81, 537,313.12 and 297,942.82 is: 410,789.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,709.81 : 537,313.12 = 297,942.82 : x
  2. Step 2: Convert to fraction form
    389,709.81/537,313.12 = 297,942.82/x
  3. Step 3: Cross multiply
    389,709.81x = 537,313.12 × 297,942.82
  4. Step 4: Simplify right side
    389,709.81x = 160,088,586,958.17
  5. Step 5: Solve for x
    x = 160,088,586,958.17/389,709.81
  6. Step 6: Final answer
    x = 410,789.21

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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.