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Finding the Fourth Proportional to 420,847.65, 631,271.48 and 210,409.65

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Solution

The fourth proportional to 420,847.65, 631,271.48 and 210,409.65 is: 315,614.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,847.65 : 631,271.48 = 210,409.65 : x
  2. Step 2: Convert to fraction form
    420,847.65/631,271.48 = 210,409.65/x
  3. Step 3: Cross multiply
    420,847.65x = 631,271.48 × 210,409.65
  4. Step 4: Simplify right side
    420,847.65x = 132,825,610,109.73
  5. Step 5: Solve for x
    x = 132,825,610,109.73/420,847.65
  6. Step 6: Final answer
    x = 315,614.48

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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.