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Finding the Fourth Proportional to 469,902.21, 648,170.02 and 278,780.25

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Solution

The fourth proportional to 469,902.21, 648,170.02 and 278,780.25 is: 384,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,902.21 : 648,170.02 = 278,780.25 : x
  2. Step 2: Convert to fraction form
    469,902.21/648,170.02 = 278,780.25/x
  3. Step 3: Cross multiply
    469,902.21x = 648,170.02 × 278,780.25
  4. Step 4: Simplify right side
    469,902.21x = 180,697,000,218.11
  5. Step 5: Solve for x
    x = 180,697,000,218.11/469,902.21
  6. Step 6: Final answer
    x = 384,541.71

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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.