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Finding the Fourth Proportional to 452,467.52, 678,711 and 136,923.92

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Solution

The fourth proportional to 452,467.52, 678,711 and 136,923.92 is: 205,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,467.52 : 678,711 = 136,923.92 : x
  2. Step 2: Convert to fraction form
    452,467.52/678,711 = 136,923.92/x
  3. Step 3: Cross multiply
    452,467.52x = 678,711 × 136,923.92
  4. Step 4: Simplify right side
    452,467.52x = 92,931,770,667.12
  5. Step 5: Solve for x
    x = 92,931,770,667.12/452,467.52
  6. Step 6: Final answer
    x = 205,388.82

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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.