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Finding the Fourth Proportional to 205,651.20, 308,937.60 and 197,254.40

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Solution

The fourth proportional to 205,651.20, 308,937.60 and 197,254.40 is: 296,323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,651.20 : 308,937.60 = 197,254.40 : x
  2. Step 2: Convert to fraction form
    205,651.20/308,937.60 = 197,254.40/x
  3. Step 3: Cross multiply
    205,651.20x = 308,937.60 × 197,254.40
  4. Step 4: Simplify right side
    205,651.20x = 60,939,300,925.44
  5. Step 5: Solve for x
    x = 60,939,300,925.44/205,651.20
  6. Step 6: Final answer
    x = 296,323.59

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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.