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Finding the Fourth Proportional to 311,810.49, 430,302.41 and 189,267.45

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Solution

The fourth proportional to 311,810.49, 430,302.41 and 189,267.45 is: 261,191.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,810.49 : 430,302.41 = 189,267.45 : x
  2. Step 2: Convert to fraction form
    311,810.49/430,302.41 = 189,267.45/x
  3. Step 3: Cross multiply
    311,810.49x = 430,302.41 × 189,267.45
  4. Step 4: Simplify right side
    311,810.49x = 81,442,238,923.22
  5. Step 5: Solve for x
    x = 81,442,238,923.22/311,810.49
  6. Step 6: Final answer
    x = 261,191.47

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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.