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Finding the Fourth Proportional to 407,777.13, 611,665.70 and 127,318.41

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Solution

The fourth proportional to 407,777.13, 611,665.70 and 127,318.41 is: 190,977.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,777.13 : 611,665.70 = 127,318.41 : x
  2. Step 2: Convert to fraction form
    407,777.13/611,665.70 = 127,318.41/x
  3. Step 3: Cross multiply
    407,777.13x = 611,665.70 × 127,318.41
  4. Step 4: Simplify right side
    407,777.13x = 77,876,303,738.95
  5. Step 5: Solve for x
    x = 77,876,303,738.95/407,777.13
  6. Step 6: Final answer
    x = 190,977.62

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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.