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Finding the Fourth Proportional to 492,439.95, 738,113.18 and 192,820.95

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Solution

The fourth proportional to 492,439.95, 738,113.18 and 192,820.95 is: 289,017.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,439.95 : 738,113.18 = 192,820.95 : x
  2. Step 2: Convert to fraction form
    492,439.95/738,113.18 = 192,820.95/x
  3. Step 3: Cross multiply
    492,439.95x = 738,113.18 × 192,820.95
  4. Step 4: Simplify right side
    492,439.95x = 142,323,683,611.02
  5. Step 5: Solve for x
    x = 142,323,683,611.02/492,439.95
  6. Step 6: Final answer
    x = 289,017.34

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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.