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Finding the Fourth Proportional to 407,816.10, 611,724.15 and 248,383.80

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Solution

The fourth proportional to 407,816.10, 611,724.15 and 248,383.80 is: 372,575.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,816.10 : 611,724.15 = 248,383.80 : x
  2. Step 2: Convert to fraction form
    407,816.10/611,724.15 = 248,383.80/x
  3. Step 3: Cross multiply
    407,816.10x = 611,724.15 × 248,383.80
  4. Step 4: Simplify right side
    407,816.10x = 151,942,368,928.77
  5. Step 5: Solve for x
    x = 151,942,368,928.77/407,816.10
  6. Step 6: Final answer
    x = 372,575.70

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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.