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Finding the Fourth Proportional to 800,780.22, 1,104,967.44 and 478,421.82

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Solution

The fourth proportional to 800,780.22, 1,104,967.44 and 478,421.82 is: 660,156.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,780.22 : 1,104,967.44 = 478,421.82 : x
  2. Step 2: Convert to fraction form
    800,780.22/1,104,967.44 = 478,421.82/x
  3. Step 3: Cross multiply
    800,780.22x = 1,104,967.44 × 478,421.82
  4. Step 4: Simplify right side
    800,780.22x = 528,640,533,685.54
  5. Step 5: Solve for x
    x = 528,640,533,685.54/800,780.22
  6. Step 6: Final answer
    x = 660,156.83

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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.