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Finding the Fourth Proportional to 420,568.72, 630,852.96 and 232,226.62

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Solution

The fourth proportional to 420,568.72, 630,852.96 and 232,226.62 is: 348,339.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,568.72 : 630,852.96 = 232,226.62 : x
  2. Step 2: Convert to fraction form
    420,568.72/630,852.96 = 232,226.62/x
  3. Step 3: Cross multiply
    420,568.72x = 630,852.96 × 232,226.62
  4. Step 4: Simplify right side
    420,568.72x = 146,500,850,617.80
  5. Step 5: Solve for x
    x = 146,500,850,617.80/420,568.72
  6. Step 6: Final answer
    x = 348,339.86

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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.