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Finding the Fourth Proportional to 392,710.40, 589,065.60 and 193,061.60

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Solution

The fourth proportional to 392,710.40, 589,065.60 and 193,061.60 is: 289,592.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,710.40 : 589,065.60 = 193,061.60 : x
  2. Step 2: Convert to fraction form
    392,710.40/589,065.60 = 193,061.60/x
  3. Step 3: Cross multiply
    392,710.40x = 589,065.60 × 193,061.60
  4. Step 4: Simplify right side
    392,710.40x = 113,725,947,240.96
  5. Step 5: Solve for x
    x = 113,725,947,240.96/392,710.40
  6. Step 6: Final answer
    x = 289,592.40

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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.