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Finding the Fourth Proportional to 300,534.32, 414,737.52 and 187,357.52

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Solution

The fourth proportional to 300,534.32, 414,737.52 and 187,357.52 is: 258,553.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,534.32 : 414,737.52 = 187,357.52 : x
  2. Step 2: Convert to fraction form
    300,534.32/414,737.52 = 187,357.52/x
  3. Step 3: Cross multiply
    300,534.32x = 414,737.52 × 187,357.52
  4. Step 4: Simplify right side
    300,534.32x = 77,704,193,198.15
  5. Step 5: Solve for x
    x = 77,704,193,198.15/300,534.32
  6. Step 6: Final answer
    x = 258,553.48

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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.