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Finding the Fourth Proportional to 872,457.78, 1,308,122.91 and 416,861.94

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Solution

The fourth proportional to 872,457.78, 1,308,122.91 and 416,861.94 is: 625,023.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,457.78 : 1,308,122.91 = 416,861.94 : x
  2. Step 2: Convert to fraction form
    872,457.78/1,308,122.91 = 416,861.94/x
  3. Step 3: Cross multiply
    872,457.78x = 1,308,122.91 × 416,861.94
  4. Step 4: Simplify right side
    872,457.78x = 545,306,654,021.05
  5. Step 5: Solve for x
    x = 545,306,654,021.05/872,457.78
  6. Step 6: Final answer
    x = 625,023.54

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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.