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Finding the Fourth Proportional to 419,225.10, 628,837.65 and 302,001.90

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Solution

The fourth proportional to 419,225.10, 628,837.65 and 302,001.90 is: 453,002.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,225.10 : 628,837.65 = 302,001.90 : x
  2. Step 2: Convert to fraction form
    419,225.10/628,837.65 = 302,001.90/x
  3. Step 3: Cross multiply
    419,225.10x = 628,837.65 × 302,001.90
  4. Step 4: Simplify right side
    419,225.10x = 189,910,165,091.54
  5. Step 5: Solve for x
    x = 189,910,165,091.54/419,225.10
  6. Step 6: Final answer
    x = 453,002.85

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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.