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Finding the Fourth Proportional to 399,195.60, 598,793.40 and 209,582.70

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Solution

The fourth proportional to 399,195.60, 598,793.40 and 209,582.70 is: 314,374.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,195.60 : 598,793.40 = 209,582.70 : x
  2. Step 2: Convert to fraction form
    399,195.60/598,793.40 = 209,582.70/x
  3. Step 3: Cross multiply
    399,195.60x = 598,793.40 × 209,582.70
  4. Step 4: Simplify right side
    399,195.60x = 125,496,737,514.18
  5. Step 5: Solve for x
    x = 125,496,737,514.18/399,195.60
  6. Step 6: Final answer
    x = 314,374.05

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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.