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Finding the Fourth Proportional to 493,353.60, 680,828.02 and 266,999.10

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Solution

The fourth proportional to 493,353.60, 680,828.02 and 266,999.10 is: 368,458.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,353.60 : 680,828.02 = 266,999.10 : x
  2. Step 2: Convert to fraction form
    493,353.60/680,828.02 = 266,999.10/x
  3. Step 3: Cross multiply
    493,353.60x = 680,828.02 × 266,999.10
  4. Step 4: Simplify right side
    493,353.60x = 181,780,468,594.78
  5. Step 5: Solve for x
    x = 181,780,468,594.78/493,353.60
  6. Step 6: Final answer
    x = 368,458.79

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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.