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Finding the Fourth Proportional to 300,672.10, 414,595 and 191,603.66

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Solution

The fourth proportional to 300,672.10, 414,595 and 191,603.66 is: 264,201.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,672.10 : 414,595 = 191,603.66 : x
  2. Step 2: Convert to fraction form
    300,672.10/414,595 = 191,603.66/x
  3. Step 3: Cross multiply
    300,672.10x = 414,595 × 191,603.66
  4. Step 4: Simplify right side
    300,672.10x = 79,437,919,417.70
  5. Step 5: Solve for x
    x = 79,437,919,417.70/300,672.10
  6. Step 6: Final answer
    x = 264,201.17

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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.