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Finding the Fourth Proportional to 392,682.40, 589,266.60 and 156,000.40

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Solution

The fourth proportional to 392,682.40, 589,266.60 and 156,000.40 is: 234,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,682.40 : 589,266.60 = 156,000.40 : x
  2. Step 2: Convert to fraction form
    392,682.40/589,266.60 = 156,000.40/x
  3. Step 3: Cross multiply
    392,682.40x = 589,266.60 × 156,000.40
  4. Step 4: Simplify right side
    392,682.40x = 91,925,825,306.64
  5. Step 5: Solve for x
    x = 91,925,825,306.64/392,682.40
  6. Step 6: Final answer
    x = 234,097.14

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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.