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Finding the Fourth Proportional to 205,060.60, 307,590.90 and 197,187.40

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Solution

The fourth proportional to 205,060.60, 307,590.90 and 197,187.40 is: 295,781.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,060.60 : 307,590.90 = 197,187.40 : x
  2. Step 2: Convert to fraction form
    205,060.60/307,590.90 = 197,187.40/x
  3. Step 3: Cross multiply
    205,060.60x = 307,590.90 × 197,187.40
  4. Step 4: Simplify right side
    205,060.60x = 60,653,049,834.66
  5. Step 5: Solve for x
    x = 60,653,049,834.66/205,060.60
  6. Step 6: Final answer
    x = 295,781.10

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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.