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Finding the Fourth Proportional to 420,208.80, 630,217.08 and 120,687

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Solution

The fourth proportional to 420,208.80, 630,217.08 and 120,687 is: 181,002.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,208.80 : 630,217.08 = 120,687 : x
  2. Step 2: Convert to fraction form
    420,208.80/630,217.08 = 120,687/x
  3. Step 3: Cross multiply
    420,208.80x = 630,217.08 × 120,687
  4. Step 4: Simplify right side
    420,208.80x = 76,059,008,733.96
  5. Step 5: Solve for x
    x = 76,059,008,733.96/420,208.80
  6. Step 6: Final answer
    x = 181,002.89

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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.