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Finding the Fourth Proportional to 493,308, 680,765.04 and 266,953.50

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Solution

The fourth proportional to 493,308, 680,765.04 and 266,953.50 is: 368,395.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,308 : 680,765.04 = 266,953.50 : x
  2. Step 2: Convert to fraction form
    493,308/680,765.04 = 266,953.50/x
  3. Step 3: Cross multiply
    493,308x = 680,765.04 × 266,953.50
  4. Step 4: Simplify right side
    493,308x = 181,732,610,105.64
  5. Step 5: Solve for x
    x = 181,732,610,105.64/493,308
  6. Step 6: Final answer
    x = 368,395.83

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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.