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Finding the Fourth Proportional to 205,803.10, 308,305.18 and 151,669.47

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Solution

The fourth proportional to 205,803.10, 308,305.18 and 151,669.47 is: 227,209.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,803.10 : 308,305.18 = 151,669.47 : x
  2. Step 2: Convert to fraction form
    205,803.10/308,305.18 = 151,669.47/x
  3. Step 3: Cross multiply
    205,803.10x = 308,305.18 × 151,669.47
  4. Step 4: Simplify right side
    205,803.10x = 46,760,483,248.85
  5. Step 5: Solve for x
    x = 46,760,483,248.85/205,803.10
  6. Step 6: Final answer
    x = 227,209.81

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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.