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Finding the Fourth Proportional to 408,557.70, 612,934.74 and 128,074.95

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Solution

The fourth proportional to 408,557.70, 612,934.74 and 128,074.95 is: 192,143.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,557.70 : 612,934.74 = 128,074.95 : x
  2. Step 2: Convert to fraction form
    408,557.70/612,934.74 = 128,074.95/x
  3. Step 3: Cross multiply
    408,557.70x = 612,934.74 × 128,074.95
  4. Step 4: Simplify right side
    408,557.70x = 78,501,586,178.76
  5. Step 5: Solve for x
    x = 78,501,586,178.76/408,557.70
  6. Step 6: Final answer
    x = 192,143.21

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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.