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Finding the Fourth Proportional to 420,609.84, 630,820.45 and 121,023.65

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Solution

The fourth proportional to 420,609.84, 630,820.45 and 121,023.65 is: 181,508.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,609.84 : 630,820.45 = 121,023.65 : x
  2. Step 2: Convert to fraction form
    420,609.84/630,820.45 = 121,023.65/x
  3. Step 3: Cross multiply
    420,609.84x = 630,820.45 × 121,023.65
  4. Step 4: Simplify right side
    420,609.84x = 76,344,193,353.64
  5. Step 5: Solve for x
    x = 76,344,193,353.64/420,609.84
  6. Step 6: Final answer
    x = 181,508.34

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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.