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Finding the Fourth Proportional to 408,520.47, 612,815 and 124,213.49

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Solution

The fourth proportional to 408,520.47, 612,815 and 124,213.49 is: 186,330.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,520.47 : 612,815 = 124,213.49 : x
  2. Step 2: Convert to fraction form
    408,520.47/612,815 = 124,213.49/x
  3. Step 3: Cross multiply
    408,520.47x = 612,815 × 124,213.49
  4. Step 4: Simplify right side
    408,520.47x = 76,119,889,874.35
  5. Step 5: Solve for x
    x = 76,119,889,874.35/408,520.47
  6. Step 6: Final answer
    x = 186,330.66

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1.5x scale

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.