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Finding the Fourth Proportional to 469,899.96, 648,166.92 and 278,778

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Solution

The fourth proportional to 469,899.96, 648,166.92 and 278,778 is: 384,538.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,899.96 : 648,166.92 = 278,778 : x
  2. Step 2: Convert to fraction form
    469,899.96/648,166.92 = 278,778/x
  3. Step 3: Cross multiply
    469,899.96x = 648,166.92 × 278,778
  4. Step 4: Simplify right side
    469,899.96x = 180,694,677,623.76
  5. Step 5: Solve for x
    x = 180,694,677,623.76/469,899.96
  6. Step 6: Final answer
    x = 384,538.61

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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.