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Finding the Fourth Proportional to 419,421.92, 628,689.76 and 301,029.08

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Solution

The fourth proportional to 419,421.92, 628,689.76 and 301,029.08 is: 451,225.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,421.92 : 628,689.76 = 301,029.08 : x
  2. Step 2: Convert to fraction form
    419,421.92/628,689.76 = 301,029.08/x
  3. Step 3: Cross multiply
    419,421.92x = 628,689.76 × 301,029.08
  4. Step 4: Simplify right side
    419,421.92x = 189,253,900,058.22
  5. Step 5: Solve for x
    x = 189,253,900,058.22/419,421.92
  6. Step 6: Final answer
    x = 451,225.58

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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.