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Finding the Fourth Proportional to 493,318, 680,783.76 and 266,968.36

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Solution

The fourth proportional to 493,318, 680,783.76 and 266,968.36 is: 368,419.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,318 : 680,783.76 = 266,968.36 : x
  2. Step 2: Convert to fraction form
    493,318/680,783.76 = 266,968.36/x
  3. Step 3: Cross multiply
    493,318x = 680,783.76 × 266,968.36
  4. Step 4: Simplify right side
    493,318x = 181,747,723,921.83
  5. Step 5: Solve for x
    x = 181,747,723,921.83/493,318
  6. Step 6: Final answer
    x = 368,419.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.