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Finding the Fourth Proportional to 392,445.60, 588,668.40 and 205,514.40

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Solution

The fourth proportional to 392,445.60, 588,668.40 and 205,514.40 is: 308,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,445.60 : 588,668.40 = 205,514.40 : x
  2. Step 2: Convert to fraction form
    392,445.60/588,668.40 = 205,514.40/x
  3. Step 3: Cross multiply
    392,445.60x = 588,668.40 × 205,514.40
  4. Step 4: Simplify right side
    392,445.60x = 120,979,833,024.96
  5. Step 5: Solve for x
    x = 120,979,833,024.96/392,445.60
  6. Step 6: Final answer
    x = 308,271.60

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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.