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Finding the Fourth Proportional to 420,608.84, 630,818.95 and 121,022.65

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Solution

The fourth proportional to 420,608.84, 630,818.95 and 121,022.65 is: 181,506.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,608.84 : 630,818.95 = 121,022.65 : x
  2. Step 2: Convert to fraction form
    420,608.84/630,818.95 = 121,022.65/x
  3. Step 3: Cross multiply
    420,608.84x = 630,818.95 × 121,022.65
  4. Step 4: Simplify right side
    420,608.84x = 76,343,379,119.61
  5. Step 5: Solve for x
    x = 76,343,379,119.61/420,608.84
  6. Step 6: Final answer
    x = 181,506.83

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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.