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Finding the Fourth Proportional to 392,013.60, 587,145.60 and 302,978.40

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Solution

The fourth proportional to 392,013.60, 587,145.60 and 302,978.40 is: 453,791.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,013.60 : 587,145.60 = 302,978.40 : x
  2. Step 2: Convert to fraction form
    392,013.60/587,145.60 = 302,978.40/x
  3. Step 3: Cross multiply
    392,013.60x = 587,145.60 × 302,978.40
  4. Step 4: Simplify right side
    392,013.60x = 177,892,434,455.04
  5. Step 5: Solve for x
    x = 177,892,434,455.04/392,013.60
  6. Step 6: Final answer
    x = 453,791.49

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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.